3(y+5)=-y+7

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Solution for 3(y+5)=-y+7 equation:


Simplifying
3(y + 5) = -1y + 7

Reorder the terms:
3(5 + y) = -1y + 7
(5 * 3 + y * 3) = -1y + 7
(15 + 3y) = -1y + 7

Reorder the terms:
15 + 3y = 7 + -1y

Solving
15 + 3y = 7 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
15 + 3y + y = 7 + -1y + y

Combine like terms: 3y + y = 4y
15 + 4y = 7 + -1y + y

Combine like terms: -1y + y = 0
15 + 4y = 7 + 0
15 + 4y = 7

Add '-15' to each side of the equation.
15 + -15 + 4y = 7 + -15

Combine like terms: 15 + -15 = 0
0 + 4y = 7 + -15
4y = 7 + -15

Combine like terms: 7 + -15 = -8
4y = -8

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

Simplifying
y = -2

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