4y+3=-y-6

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Solution for 4y+3=-y-6 equation:


Simplifying
4y + 3 = -1y + -6

Reorder the terms:
3 + 4y = -1y + -6

Reorder the terms:
3 + 4y = -6 + -1y

Solving
3 + 4y = -6 + -1y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add 'y' to each side of the equation.
3 + 4y + y = -6 + -1y + y

Combine like terms: 4y + y = 5y
3 + 5y = -6 + -1y + y

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

Add '-3' to each side of the equation.
3 + -3 + 5y = -6 + -3

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

Combine like terms: -6 + -3 = -9
5y = -9

Divide each side by '5'.
y = -1.8

Simplifying
y = -1.8

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