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

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


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

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

Combine like terms: 1 + 6 = 7
7 + 3y + y = 2y + -3

Combine like terms: 3y + y = 4y
7 + 4y = 2y + -3

Reorder the terms:
7 + 4y = -3 + 2y

Solving
7 + 4y = -3 + 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 + 4y + -2y = -3 + 2y + -2y

Combine like terms: 4y + -2y = 2y
7 + 2y = -3 + 2y + -2y

Combine like terms: 2y + -2y = 0
7 + 2y = -3 + 0
7 + 2y = -3

Add '-7' to each side of the equation.
7 + -7 + 2y = -3 + -7

Combine like terms: 7 + -7 = 0
0 + 2y = -3 + -7
2y = -3 + -7

Combine like terms: -3 + -7 = -10
2y = -10

Divide each side by '2'.
y = -5

Simplifying
y = -5

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