-3(y+6)=5y+22

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Solution for -3(y+6)=5y+22 equation:


Simplifying
-3(y + 6) = 5y + 22

Reorder the terms:
-3(6 + y) = 5y + 22
(6 * -3 + y * -3) = 5y + 22
(-18 + -3y) = 5y + 22

Reorder the terms:
-18 + -3y = 22 + 5y

Solving
-18 + -3y = 22 + 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.
-18 + -3y + -5y = 22 + 5y + -5y

Combine like terms: -3y + -5y = -8y
-18 + -8y = 22 + 5y + -5y

Combine like terms: 5y + -5y = 0
-18 + -8y = 22 + 0
-18 + -8y = 22

Add '18' to each side of the equation.
-18 + 18 + -8y = 22 + 18

Combine like terms: -18 + 18 = 0
0 + -8y = 22 + 18
-8y = 22 + 18

Combine like terms: 22 + 18 = 40
-8y = 40

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

Simplifying
y = -5

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