5(y+2)=-2y+17

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Solution for 5(y+2)=-2y+17 equation:


Simplifying
5(y + 2) = -2y + 17

Reorder the terms:
5(2 + y) = -2y + 17
(2 * 5 + y * 5) = -2y + 17
(10 + 5y) = -2y + 17

Reorder the terms:
10 + 5y = 17 + -2y

Solving
10 + 5y = 17 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
10 + 5y + 2y = 17 + -2y + 2y

Combine like terms: 5y + 2y = 7y
10 + 7y = 17 + -2y + 2y

Combine like terms: -2y + 2y = 0
10 + 7y = 17 + 0
10 + 7y = 17

Add '-10' to each side of the equation.
10 + -10 + 7y = 17 + -10

Combine like terms: 10 + -10 = 0
0 + 7y = 17 + -10
7y = 17 + -10

Combine like terms: 17 + -10 = 7
7y = 7

Divide each side by '7'.
y = 1

Simplifying
y = 1

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