3y-1=2y+7

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


Simplifying
3y + -1 = 2y + 7

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

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

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

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

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

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

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

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

Divide each side by '1'.
y = 8

Simplifying
y = 8

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