4-y=6(y+3)

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


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

Reorder the terms:
4 + -1y = 6(3 + y)
4 + -1y = (3 * 6 + y * 6)
4 + -1y = (18 + 6y)

Solving
4 + -1y = 18 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
4 + -1y + -6y = 18 + 6y + -6y

Combine like terms: -1y + -6y = -7y
4 + -7y = 18 + 6y + -6y

Combine like terms: 6y + -6y = 0
4 + -7y = 18 + 0
4 + -7y = 18

Add '-4' to each side of the equation.
4 + -4 + -7y = 18 + -4

Combine like terms: 4 + -4 = 0
0 + -7y = 18 + -4
-7y = 18 + -4

Combine like terms: 18 + -4 = 14
-7y = 14

Divide each side by '-7'.
y = -2

Simplifying
y = -2

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