2y-3=3y-7

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


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

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

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

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

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

Combine like terms: 3y + -3y = 0
-3 + -1y = -7 + 0
-3 + -1y = -7

Add '3' to each side of the equation.
-3 + 3 + -1y = -7 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = -7 + 3
-1y = -7 + 3

Combine like terms: -7 + 3 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4

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