3(y-7)+2(4-2y)=40

Solution for 3(y-7)+2(4-2y)=40 equation:

Simplifying
3(y + -7) + 2(4 + -2y) = 40

Reorder the terms:
3(-7 + y) + 2(4 + -2y) = 40
(-7 * 3 + y * 3) + 2(4 + -2y) = 40
(-21 + 3y) + 2(4 + -2y) = 40
-21 + 3y + (4 * 2 + -2y * 2) = 40
-21 + 3y + (8 + -4y) = 40

Reorder the terms:
-21 + 8 + 3y + -4y = 40

Combine like terms: -21 + 8 = -13
-13 + 3y + -4y = 40

Combine like terms: 3y + -4y = -1y
-13 + -1y = 40

Solving
-13 + -1y = 40

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '13' to each side of the equation.
-13 + 13 + -1y = 40 + 13

Combine like terms: -13 + 13 = 0
0 + -1y = 40 + 13
-1y = 40 + 13

Combine like terms: 40 + 13 = 53
-1y = 53

Divide each side by '-1'.
y = -53

Simplifying
y = -53