3y-7=2y+1

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Solution for 3y-7=2y+1 equation:


Simplifying
3y + -7 = 2y + 1

Reorder the terms:
-7 + 3y = 2y + 1

Reorder the terms:
-7 + 3y = 1 + 2y

Solving
-7 + 3y = 1 + 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.
-7 + 3y + -2y = 1 + 2y + -2y

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

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

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

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

Combine like terms: 1 + 7 = 8
1y = 8

Divide each side by '1'.
y = 8

Simplifying
y = 8

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