5(y-2)=3y-22

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Solution for 5(y-2)=3y-22 equation:


Simplifying
5(y + -2) = 3y + -22

Reorder the terms:
5(-2 + y) = 3y + -22
(-2 * 5 + y * 5) = 3y + -22
(-10 + 5y) = 3y + -22

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

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

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-10 + 5y + -3y = -22 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-10 + 2y = -22 + 3y + -3y

Combine like terms: 3y + -3y = 0
-10 + 2y = -22 + 0
-10 + 2y = -22

Add '10' to each side of the equation.
-10 + 10 + 2y = -22 + 10

Combine like terms: -10 + 10 = 0
0 + 2y = -22 + 10
2y = -22 + 10

Combine like terms: -22 + 10 = -12
2y = -12

Divide each side by '2'.
y = -6

Simplifying
y = -6

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