2(y+8)=3(y-7)

Solution for 2(y+8)=3(y-7) equation:

Simplifying
2(y + 8) = 3(y + -7)

Reorder the terms:
2(8 + y) = 3(y + -7)
(8 * 2 + y * 2) = 3(y + -7)
(16 + 2y) = 3(y + -7)

Reorder the terms:
16 + 2y = 3(-7 + y)
16 + 2y = (-7 * 3 + y * 3)
16 + 2y = (-21 + 3y)

Solving
16 + 2y = -21 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
16 + 2y + -3y = -21 + 3y + -3y

Combine like terms: 2y + -3y = -1y
16 + -1y = -21 + 3y + -3y

Combine like terms: 3y + -3y = 0
16 + -1y = -21 + 0
16 + -1y = -21

Add '-16' to each side of the equation.
16 + -16 + -1y = -21 + -16

Combine like terms: 16 + -16 = 0
0 + -1y = -21 + -16
-1y = -21 + -16

Combine like terms: -21 + -16 = -37
-1y = -37

Divide each side by '-1'.
y = 37

Simplifying
y = 37