2y+6=-3y+1

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


Simplifying
2y + 6 = -3y + 1

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

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

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

Combine like terms: 2y + 3y = 5y
6 + 5y = 1 + -3y + 3y

Combine like terms: -3y + 3y = 0
6 + 5y = 1 + 0
6 + 5y = 1

Add '-6' to each side of the equation.
6 + -6 + 5y = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 5y = 1 + -6
5y = 1 + -6

Combine like terms: 1 + -6 = -5
5y = -5

Divide each side by '5'.
y = -1

Simplifying
y = -1

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