2y+21-6y=-12+y-7

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Solution for 2y+21-6y=-12+y-7 equation: 


Simplifying
2y + 21 + -6y = -12 + y + -7

Reorder the terms:
21 + 2y + -6y = -12 + y + -7

Combine like terms: 2y + -6y = -4y
21 + -4y = -12 + y + -7

Reorder the terms:
21 + -4y = -12 + -7 + y

Combine like terms: -12 + -7 = -19
21 + -4y = -19 + y

Solving
21 + -4y = -19 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
21 + -4y + -1y = -19 + y + -1y

Combine like terms: -4y + -1y = -5y
21 + -5y = -19 + y + -1y

Combine like terms: y + -1y = 0
21 + -5y = -19 + 0
21 + -5y = -19

Add '-21' to each side of the equation.
21 + -21 + -5y = -19 + -21

Combine like terms: 21 + -21 = 0
0 + -5y = -19 + -21
-5y = -19 + -21

Combine like terms: -19 + -21 = -40
-5y = -40

Divide each side by '-5'.
y = 8

Simplifying
y = 8

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