-4(7y+9)=(3-5y)3-y

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Solution for -4(7y+9)=(3-5y)3-y equation:


Simplifying
-4(7y + 9) = (3 + -5y) * 3 + -1y

Reorder the terms:
-4(9 + 7y) = (3 + -5y) * 3 + -1y
(9 * -4 + 7y * -4) = (3 + -5y) * 3 + -1y
(-36 + -28y) = (3 + -5y) * 3 + -1y

Reorder the terms for easier multiplication:
-36 + -28y = 3(3 + -5y) + -1y
-36 + -28y = (3 * 3 + -5y * 3) + -1y
-36 + -28y = (9 + -15y) + -1y

Combine like terms: -15y + -1y = -16y
-36 + -28y = 9 + -16y

Solving
-36 + -28y = 9 + -16y

Solving for variable 'y'.

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

Add '16y' to each side of the equation.
-36 + -28y + 16y = 9 + -16y + 16y

Combine like terms: -28y + 16y = -12y
-36 + -12y = 9 + -16y + 16y

Combine like terms: -16y + 16y = 0
-36 + -12y = 9 + 0
-36 + -12y = 9

Add '36' to each side of the equation.
-36 + 36 + -12y = 9 + 36

Combine like terms: -36 + 36 = 0
0 + -12y = 9 + 36
-12y = 9 + 36

Combine like terms: 9 + 36 = 45
-12y = 45

Divide each side by '-12'.
y = -3.75

Simplifying
y = -3.75

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