5y-8=15y+22

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Solution for 5y-8=15y+22 equation:


Simplifying
5y + -8 = 15y + 22

Reorder the terms:
-8 + 5y = 15y + 22

Reorder the terms:
-8 + 5y = 22 + 15y

Solving
-8 + 5y = 22 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-8 + 5y + -15y = 22 + 15y + -15y

Combine like terms: 5y + -15y = -10y
-8 + -10y = 22 + 15y + -15y

Combine like terms: 15y + -15y = 0
-8 + -10y = 22 + 0
-8 + -10y = 22

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

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

Combine like terms: 22 + 8 = 30
-10y = 30

Divide each side by '-10'.
y = -3

Simplifying
y = -3

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