3y+7=-y+15

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Solution for 3y+7=-y+15 equation:


Simplifying
3y + 7 = -1y + 15

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

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

Solving
7 + 3y = 15 + -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.
7 + 3y + y = 15 + -1y + y

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

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

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

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

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

Divide each side by '4'.
y = 2

Simplifying
y = 2

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