7y+3=12y-7

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Solution for 7y+3=12y-7 equation:


Simplifying
7y + 3 = 12y + -7

Reorder the terms:
3 + 7y = 12y + -7

Reorder the terms:
3 + 7y = -7 + 12y

Solving
3 + 7y = -7 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
3 + 7y + -12y = -7 + 12y + -12y

Combine like terms: 7y + -12y = -5y
3 + -5y = -7 + 12y + -12y

Combine like terms: 12y + -12y = 0
3 + -5y = -7 + 0
3 + -5y = -7

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

Combine like terms: 3 + -3 = 0
0 + -5y = -7 + -3
-5y = -7 + -3

Combine like terms: -7 + -3 = -10
-5y = -10

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

Simplifying
y = 2

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