-5(y+6)=2y+33

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Solution for -5(y+6)=2y+33 equation:


Simplifying
-5(y + 6) = 2y + 33

Reorder the terms:
-5(6 + y) = 2y + 33
(6 * -5 + y * -5) = 2y + 33
(-30 + -5y) = 2y + 33

Reorder the terms:
-30 + -5y = 33 + 2y

Solving
-30 + -5y = 33 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-30 + -5y + -2y = 33 + 2y + -2y

Combine like terms: -5y + -2y = -7y
-30 + -7y = 33 + 2y + -2y

Combine like terms: 2y + -2y = 0
-30 + -7y = 33 + 0
-30 + -7y = 33

Add '30' to each side of the equation.
-30 + 30 + -7y = 33 + 30

Combine like terms: -30 + 30 = 0
0 + -7y = 33 + 30
-7y = 33 + 30

Combine like terms: 33 + 30 = 63
-7y = 63

Divide each side by '-7'.
y = -9

Simplifying
y = -9

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