3y-5=2y-7

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Solution for 3y-5=2y-7 equation:


Simplifying
3y + -5 = 2y + -7

Reorder the terms:
-5 + 3y = 2y + -7

Reorder the terms:
-5 + 3y = -7 + 2y

Solving
-5 + 3y = -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 + 3y + -2y = -7 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-5 + 1y = -7 + 2y + -2y

Combine like terms: 2y + -2y = 0
-5 + 1y = -7 + 0
-5 + 1y = -7

Add '5' to each side of the equation.
-5 + 5 + 1y = -7 + 5

Combine like terms: -5 + 5 = 0
0 + 1y = -7 + 5
1y = -7 + 5

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

Divide each side by '1'.
y = -2

Simplifying
y = -2

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