7y-2=3y-12

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Solution for 7y-2=3y-12 equation:


Simplifying
7y + -2 = 3y + -12

Reorder the terms:
-2 + 7y = 3y + -12

Reorder the terms:
-2 + 7y = -12 + 3y

Solving
-2 + 7y = -12 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-2 + 7y + -3y = -12 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-2 + 4y = -12 + 3y + -3y

Combine like terms: 3y + -3y = 0
-2 + 4y = -12 + 0
-2 + 4y = -12

Add '2' to each side of the equation.
-2 + 2 + 4y = -12 + 2

Combine like terms: -2 + 2 = 0
0 + 4y = -12 + 2
4y = -12 + 2

Combine like terms: -12 + 2 = -10
4y = -10

Divide each side by '4'.
y = -2.5

Simplifying
y = -2.5

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