Algerbra 4d-3-2d=-15

B Q1: 7m+3(m+2)=-24

B Q2: 5x-3(x-5)=13

B Q3: 3/4(2y-8)=6

B Q4: 8x-4=3x+6

B Q5: 3(2y-5)=4y-7

B Q6: 9+4y=2(3-y)

B Q7: 3x-3=3/4(2x+12)

Please show work. Thanks!!!!

q1) 7m+3(m+2)=-24
7m +3m+6=-24
10m+6=-24
10m=-30
m=-3

q2) 5x-3(x-5)=13
5x-3x+15=13
2x=-2
x=-1

q3) 3/4(2y-8)=6
3/4x2=6/4, 3/4x8=6
6/4y-6=6
6/4y=12
multiply both sides by 4/6 to separate y, 12x4/6=8
y=8

q4) 8x-4=3x+6
subtract 3x from both sides and add 4 to both sides
5x=10
x=2

q5) 3(2y-5)=4y-7
6y-15=4y-7
add 15 to both sides and subtract 4y from both sides
2y=8
y=4

q6) 9+4y=2(3-y)
9+4y=6-2y
subtract 9 from both sides and add 2y to both sides
6y=-3
y= -1/2

q7) 3x-3=3/4(2x+12)
3x-3=6/4x+9
add 3 to both sides
3x=6/4x + 12
make 3 into a fraction, 3 x 4/4 = 12/4
12/4=6/4x + 12
subtract 6/4x from both sides
6/4x=12
x=18

Title) 4d-3-2d=-15
(Combine like terms) 2d-3=-15
(+3 to both sides) 2d=-12
(divide by 2 on both sides) d=-6

B Q1) 7m+3(m+2)=-24
(Distribute) 7m+3m+6=-24
(combine like terms) 10m+6=-24
(subtract 6 from both sides) 10m=-30
(Divide by 10) m=-3

B Q2) 5x-3(x+5)=13
(Distribute) 5x-1(3x-15)=13
(distribute again (to make life easier)) 5x-3x+15=13
(combine like terms) 2x+15=13
(sub. 15 from both sides) 2x=-2
(divide both sides by 2) x=-1

B Q3)3/4(2y-8)=6
(move 3/4 to other side) 2y-8=6 (divided by) 3/4
(divide 6 by 3/4) 2y-8=8
(add 8) 2y=16
(divide by 2) y=8

B Q4)8x-4=3x+6
(Sub. 3x) 5x-4=6
(add 4) 5x=10
(divide by 5) x=2