2y+24=4y-16

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Solution for 2y+24=4y-16 equation: 


Simplifying
2y + 24 = 4y + -16

Reorder the terms:
24 + 2y = 4y + -16

Reorder the terms:
24 + 2y = -16 + 4y

Solving
24 + 2y = -16 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
24 + 2y + -4y = -16 + 4y + -4y

Combine like terms: 2y + -4y = -2y
24 + -2y = -16 + 4y + -4y

Combine like terms: 4y + -4y = 0
24 + -2y = -16 + 0
24 + -2y = -16

Add '-24' to each side of the equation.
24 + -24 + -2y = -16 + -24

Combine like terms: 24 + -24 = 0
0 + -2y = -16 + -24
-2y = -16 + -24

Combine like terms: -16 + -24 = -40
-2y = -40

Divide each side by '-2'.
y = 20

Simplifying
y = 20

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