-2(4y-21)=12y-16+9y

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Solution for -2(4y-21)=12y-16+9y equation: 


Simplifying
-2(4y + -21) = 12y + -16 + 9y

Reorder the terms:
-2(-21 + 4y) = 12y + -16 + 9y
(-21 * -2 + 4y * -2) = 12y + -16 + 9y
(42 + -8y) = 12y + -16 + 9y

Reorder the terms:
42 + -8y = -16 + 12y + 9y

Combine like terms: 12y + 9y = 21y
42 + -8y = -16 + 21y

Solving
42 + -8y = -16 + 21y

Solving for variable 'y'.

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

Add '-21y' to each side of the equation.
42 + -8y + -21y = -16 + 21y + -21y

Combine like terms: -8y + -21y = -29y
42 + -29y = -16 + 21y + -21y

Combine like terms: 21y + -21y = 0
42 + -29y = -16 + 0
42 + -29y = -16

Add '-42' to each side of the equation.
42 + -42 + -29y = -16 + -42

Combine like terms: 42 + -42 = 0
0 + -29y = -16 + -42
-29y = -16 + -42

Combine like terms: -16 + -42 = -58
-29y = -58

Divide each side by '-29'.
y = 2

Simplifying
y = 2

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