3y+7=y-3

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


Simplifying
3y + 7 = y + -3

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

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

Solving
7 + 3y = -3 + y

Solving for variable 'y'.

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

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

Combine like terms: 3y + -1y = 2y
7 + 2y = -3 + y + -1y

Combine like terms: y + -1y = 0
7 + 2y = -3 + 0
7 + 2y = -3

Add '-7' to each side of the equation.
7 + -7 + 2y = -3 + -7

Combine like terms: 7 + -7 = 0
0 + 2y = -3 + -7
2y = -3 + -7

Combine like terms: -3 + -7 = -10
2y = -10

Divide each side by '2'.
y = -5

Simplifying
y = -5

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