2y+16=3y-24

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Solution for 2y+16=3y-24 equation:


Simplifying
2y + 16 = 3y + -24

Reorder the terms:
16 + 2y = 3y + -24

Reorder the terms:
16 + 2y = -24 + 3y

Solving
16 + 2y = -24 + 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 = -24 + 3y + -3y

Combine like terms: 2y + -3y = -1y
16 + -1y = -24 + 3y + -3y

Combine like terms: 3y + -3y = 0
16 + -1y = -24 + 0
16 + -1y = -24

Add '-16' to each side of the equation.
16 + -16 + -1y = -24 + -16

Combine like terms: 16 + -16 = 0
0 + -1y = -24 + -16
-1y = -24 + -16

Combine like terms: -24 + -16 = -40
-1y = -40

Divide each side by '-1'.
y = 40

Simplifying
y = 40

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