6(3y-3)=4-(y+5)

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Solution for 6(3y-3)=4-(y+5) equation:


Simplifying
6(3y + -3) = 4 + -1(y + 5)

Reorder the terms:
6(-3 + 3y) = 4 + -1(y + 5)
(-3 * 6 + 3y * 6) = 4 + -1(y + 5)
(-18 + 18y) = 4 + -1(y + 5)

Reorder the terms:
-18 + 18y = 4 + -1(5 + y)
-18 + 18y = 4 + (5 * -1 + y * -1)
-18 + 18y = 4 + (-5 + -1y)

Combine like terms: 4 + -5 = -1
-18 + 18y = -1 + -1y

Solving
-18 + 18y = -1 + -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.
-18 + 18y + y = -1 + -1y + y

Combine like terms: 18y + y = 19y
-18 + 19y = -1 + -1y + y

Combine like terms: -1y + y = 0
-18 + 19y = -1 + 0
-18 + 19y = -1

Add '18' to each side of the equation.
-18 + 18 + 19y = -1 + 18

Combine like terms: -18 + 18 = 0
0 + 19y = -1 + 18
19y = -1 + 18

Combine like terms: -1 + 18 = 17
19y = 17

Divide each side by '19'.
y = 0.8947368421

Simplifying
y = 0.8947368421

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