3y-7=5y+7

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


Simplifying
3y + -7 = 5y + 7

Reorder the terms:
-7 + 3y = 5y + 7

Reorder the terms:
-7 + 3y = 7 + 5y

Solving
-7 + 3y = 7 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-7 + 3y + -5y = 7 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-7 + -2y = 7 + 5y + -5y

Combine like terms: 5y + -5y = 0
-7 + -2y = 7 + 0
-7 + -2y = 7

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

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

Combine like terms: 7 + 7 = 14
-2y = 14

Divide each side by '-2'.
y = -7

Simplifying
y = -7

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