-3(2y+4)-10=-4(y+8)+24

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Solution for -3(2y+4)-10=-4(y+8)+24 equation:


Simplifying
-3(2y + 4) + -10 = -4(y + 8) + 24

Reorder the terms:
-3(4 + 2y) + -10 = -4(y + 8) + 24
(4 * -3 + 2y * -3) + -10 = -4(y + 8) + 24
(-12 + -6y) + -10 = -4(y + 8) + 24

Reorder the terms:
-12 + -10 + -6y = -4(y + 8) + 24

Combine like terms: -12 + -10 = -22
-22 + -6y = -4(y + 8) + 24

Reorder the terms:
-22 + -6y = -4(8 + y) + 24
-22 + -6y = (8 * -4 + y * -4) + 24
-22 + -6y = (-32 + -4y) + 24

Reorder the terms:
-22 + -6y = -32 + 24 + -4y

Combine like terms: -32 + 24 = -8
-22 + -6y = -8 + -4y

Solving
-22 + -6y = -8 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-22 + -6y + 4y = -8 + -4y + 4y

Combine like terms: -6y + 4y = -2y
-22 + -2y = -8 + -4y + 4y

Combine like terms: -4y + 4y = 0
-22 + -2y = -8 + 0
-22 + -2y = -8

Add '22' to each side of the equation.
-22 + 22 + -2y = -8 + 22

Combine like terms: -22 + 22 = 0
0 + -2y = -8 + 22
-2y = -8 + 22

Combine like terms: -8 + 22 = 14
-2y = 14

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

Simplifying
y = -7

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