7(y-2)=5y-22

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Solution for 7(y-2)=5y-22 equation: 


Simplifying
7(y + -2) = 5y + -22

Reorder the terms:
7(-2 + y) = 5y + -22
(-2 * 7 + y * 7) = 5y + -22
(-14 + 7y) = 5y + -22

Reorder the terms:
-14 + 7y = -22 + 5y

Solving
-14 + 7y = -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.
-14 + 7y + -5y = -22 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-14 + 2y = -22 + 5y + -5y

Combine like terms: 5y + -5y = 0
-14 + 2y = -22 + 0
-14 + 2y = -22

Add '14' to each side of the equation.
-14 + 14 + 2y = -22 + 14

Combine like terms: -14 + 14 = 0
0 + 2y = -22 + 14
2y = -22 + 14

Combine like terms: -22 + 14 = -8
2y = -8

Divide each side by '2'.
y = -4

Simplifying
y = -4

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