y-2=2y-7

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


Simplifying
y + -2 = 2y + -7

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

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

Solving
-2 + 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.
-2 + y + -2y = -7 + 2y + -2y

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

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

Add '2' to each side of the equation.
-2 + 2 + -1y = -7 + 2

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

Combine like terms: -7 + 2 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5

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