-4(2y-1)-2(4+y)-5y=4(3-2y)+3

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Solution for -4(2y-1)-2(4+y)-5y=4(3-2y)+3 equation:


Simplifying
-4(2y + -1) + -2(4 + y) + -5y = 4(3 + -2y) + 3

Reorder the terms:
-4(-1 + 2y) + -2(4 + y) + -5y = 4(3 + -2y) + 3
(-1 * -4 + 2y * -4) + -2(4 + y) + -5y = 4(3 + -2y) + 3
(4 + -8y) + -2(4 + y) + -5y = 4(3 + -2y) + 3
4 + -8y + (4 * -2 + y * -2) + -5y = 4(3 + -2y) + 3
4 + -8y + (-8 + -2y) + -5y = 4(3 + -2y) + 3

Reorder the terms:
4 + -8 + -8y + -2y + -5y = 4(3 + -2y) + 3

Combine like terms: 4 + -8 = -4
-4 + -8y + -2y + -5y = 4(3 + -2y) + 3

Combine like terms: -8y + -2y = -10y
-4 + -10y + -5y = 4(3 + -2y) + 3

Combine like terms: -10y + -5y = -15y
-4 + -15y = 4(3 + -2y) + 3
-4 + -15y = (3 * 4 + -2y * 4) + 3
-4 + -15y = (12 + -8y) + 3

Reorder the terms:
-4 + -15y = 12 + 3 + -8y

Combine like terms: 12 + 3 = 15
-4 + -15y = 15 + -8y

Solving
-4 + -15y = 15 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
-4 + -15y + 8y = 15 + -8y + 8y

Combine like terms: -15y + 8y = -7y
-4 + -7y = 15 + -8y + 8y

Combine like terms: -8y + 8y = 0
-4 + -7y = 15 + 0
-4 + -7y = 15

Add '4' to each side of the equation.
-4 + 4 + -7y = 15 + 4

Combine like terms: -4 + 4 = 0
0 + -7y = 15 + 4
-7y = 15 + 4

Combine like terms: 15 + 4 = 19
-7y = 19

Divide each side by '-7'.
y = -2.714285714

Simplifying
y = -2.714285714

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