-3y-10=5y+22

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Solution for -3y-10=5y+22 equation:


Simplifying
-3y + -10 = 5y + 22

Reorder the terms:
-10 + -3y = 5y + 22

Reorder the terms:
-10 + -3y = 22 + 5y

Solving
-10 + -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.
-10 + -3y + -5y = 22 + 5y + -5y

Combine like terms: -3y + -5y = -8y
-10 + -8y = 22 + 5y + -5y

Combine like terms: 5y + -5y = 0
-10 + -8y = 22 + 0
-10 + -8y = 22

Add '10' to each side of the equation.
-10 + 10 + -8y = 22 + 10

Combine like terms: -10 + 10 = 0
0 + -8y = 22 + 10
-8y = 22 + 10

Combine like terms: 22 + 10 = 32
-8y = 32

Divide each side by '-8'.
y = -4

Simplifying
y = -4

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