4y+3=y-6

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


Simplifying
4y + 3 = y + -6

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

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

Solving
3 + 4y = -6 + y

Solving for variable 'y'.

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

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

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

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

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

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

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

Divide each side by '3'.
y = -3

Simplifying
y = -3

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