y-5=-2y+7

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Solution for y-5=-2y+7 equation:


Simplifying
y + -5 = -2y + 7

Reorder the terms:
-5 + y = -2y + 7

Reorder the terms:
-5 + y = 7 + -2y

Solving
-5 + y = 7 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-5 + y + 2y = 7 + -2y + 2y

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

Combine like terms: -2y + 2y = 0
-5 + 3y = 7 + 0
-5 + 3y = 7

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

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

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

Divide each side by '3'.
y = 4

Simplifying
y = 4

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