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

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


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

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

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

Solving
8 + 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.
8 + 2y + -3y = -21 + 3y + -3y

Combine like terms: 2y + -3y = -1y
8 + -1y = -21 + 3y + -3y

Combine like terms: 3y + -3y = 0
8 + -1y = -21 + 0
8 + -1y = -21

Add '-8' to each side of the equation.
8 + -8 + -1y = -21 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = -21 + -8
-1y = -21 + -8

Combine like terms: -21 + -8 = -29
-1y = -29

Divide each side by '-1'.
y = 29

Simplifying
y = 29

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