-4(3y+1)-3(3-y)=3(5y+1)-7

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Solution for -4(3y+1)-3(3-y)=3(5y+1)-7 equation:


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

Reorder the terms:
-4(1 + 3y) + -3(3 + -1y) = 3(5y + 1) + -7
(1 * -4 + 3y * -4) + -3(3 + -1y) = 3(5y + 1) + -7
(-4 + -12y) + -3(3 + -1y) = 3(5y + 1) + -7
-4 + -12y + (3 * -3 + -1y * -3) = 3(5y + 1) + -7
-4 + -12y + (-9 + 3y) = 3(5y + 1) + -7

Reorder the terms:
-4 + -9 + -12y + 3y = 3(5y + 1) + -7

Combine like terms: -4 + -9 = -13
-13 + -12y + 3y = 3(5y + 1) + -7

Combine like terms: -12y + 3y = -9y
-13 + -9y = 3(5y + 1) + -7

Reorder the terms:
-13 + -9y = 3(1 + 5y) + -7
-13 + -9y = (1 * 3 + 5y * 3) + -7
-13 + -9y = (3 + 15y) + -7

Reorder the terms:
-13 + -9y = 3 + -7 + 15y

Combine like terms: 3 + -7 = -4
-13 + -9y = -4 + 15y

Solving
-13 + -9y = -4 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-13 + -9y + -15y = -4 + 15y + -15y

Combine like terms: -9y + -15y = -24y
-13 + -24y = -4 + 15y + -15y

Combine like terms: 15y + -15y = 0
-13 + -24y = -4 + 0
-13 + -24y = -4

Add '13' to each side of the equation.
-13 + 13 + -24y = -4 + 13

Combine like terms: -13 + 13 = 0
0 + -24y = -4 + 13
-24y = -4 + 13

Combine like terms: -4 + 13 = 9
-24y = 9

Divide each side by '-24'.
y = -0.375

Simplifying
y = -0.375

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