3y+1=2y-6

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Solution for 3y+1=2y-6 equation:


Simplifying
3y + 1 = 2y + -6

Reorder the terms:
1 + 3y = 2y + -6

Reorder the terms:
1 + 3y = -6 + 2y

Solving
1 + 3y = -6 + 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 = -6 + 2y + -2y

Combine like terms: 3y + -2y = 1y
1 + 1y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
1 + 1y = -6 + 0
1 + 1y = -6

Add '-1' to each side of the equation.
1 + -1 + 1y = -6 + -1

Combine like terms: 1 + -1 = 0
0 + 1y = -6 + -1
1y = -6 + -1

Combine like terms: -6 + -1 = -7
1y = -7

Divide each side by '1'.
y = -7

Simplifying
y = -7

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