2y-22=7(y-2)

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


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

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

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

Solving
-22 + 2y = -14 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-22 + 2y + -7y = -14 + 7y + -7y

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

Combine like terms: 7y + -7y = 0
-22 + -5y = -14 + 0
-22 + -5y = -14

Add '22' to each side of the equation.
-22 + 22 + -5y = -14 + 22

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

Combine like terms: -14 + 22 = 8
-5y = 8

Divide each side by '-5'.
y = -1.6

Simplifying
y = -1.6

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