3(2y+7)=5y-11

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Solution for 3(2y+7)=5y-11 equation: 


Simplifying
3(2y + 7) = 5y + -11

Reorder the terms:
3(7 + 2y) = 5y + -11
(7 * 3 + 2y * 3) = 5y + -11
(21 + 6y) = 5y + -11

Reorder the terms:
21 + 6y = -11 + 5y

Solving
21 + 6y = -11 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
21 + 6y + -5y = -11 + 5y + -5y

Combine like terms: 6y + -5y = 1y
21 + 1y = -11 + 5y + -5y

Combine like terms: 5y + -5y = 0
21 + 1y = -11 + 0
21 + 1y = -11

Add '-21' to each side of the equation.
21 + -21 + 1y = -11 + -21

Combine like terms: 21 + -21 = 0
0 + 1y = -11 + -21
1y = -11 + -21

Combine like terms: -11 + -21 = -32
1y = -32

Divide each side by '1'.
y = -32

Simplifying
y = -32

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