1) 4y - 6 = 2y + 8
2) 5(3w - 2) - 7 = 28
3) t - 2(3 - 2t) = 2t + 9
4) 5(s - 12) = 3(s + 2)
2) 5(3w - 2) - 7 = 28
3) t - 2(3 - 2t) = 2t + 9
4) 5(s - 12) = 3(s + 2)
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I guess you want them simplified.
1) 4y - 6 = 2y + 8
Add 6 to both sides
4y = 2y + 8 + 6
subtract 2y from both sides
4y - 2y = 8 + 6
reduce
2y = 14
divide both sides by 2
y = 7
2) 5(3w - 2) - 7 = 28
expand
15w - 10 - 7 = 28
add 17 to both sides
15w = 28 + 17
reduce and divide both sides by 15
15w = 45
w = 3
3) t - 2(3 - 2t) = 2t + 9
expand
t - 6 + 6t = 2t + 9
note how the negative side propagates
reduce
7t - 6 = 2t + 9
add 6 to both sides, subtract 2t from both sides
7t - 2t = 9 + 6
reduce
5t = 15
divide both sides by 5
t = 3
4) 5(s - 12) = 3(s + 2)
expand
5s - 60 = 3s + 6
add 60 to both sides, subtract 3s from both sides
5s - 3s = 6 + 60
reduce
2s = 66
divide both sides by 2
s = 33
1) 4y - 6 = 2y + 8
Add 6 to both sides
4y = 2y + 8 + 6
subtract 2y from both sides
4y - 2y = 8 + 6
reduce
2y = 14
divide both sides by 2
y = 7
2) 5(3w - 2) - 7 = 28
expand
15w - 10 - 7 = 28
add 17 to both sides
15w = 28 + 17
reduce and divide both sides by 15
15w = 45
w = 3
3) t - 2(3 - 2t) = 2t + 9
expand
t - 6 + 6t = 2t + 9
note how the negative side propagates
reduce
7t - 6 = 2t + 9
add 6 to both sides, subtract 2t from both sides
7t - 2t = 9 + 6
reduce
5t = 15
divide both sides by 5
t = 3
4) 5(s - 12) = 3(s + 2)
expand
5s - 60 = 3s + 6
add 60 to both sides, subtract 3s from both sides
5s - 3s = 6 + 60
reduce
2s = 66
divide both sides by 2
s = 33