5(y-4)-6=-2(3y+8)-5y

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Solution for 5(y-4)-6=-2(3y+8)-5y equation:


Simplifying
5(y + -4) + -6 = -2(3y + 8) + -5y

Reorder the terms:
5(-4 + y) + -6 = -2(3y + 8) + -5y
(-4 * 5 + y * 5) + -6 = -2(3y + 8) + -5y
(-20 + 5y) + -6 = -2(3y + 8) + -5y

Reorder the terms:
-20 + -6 + 5y = -2(3y + 8) + -5y

Combine like terms: -20 + -6 = -26
-26 + 5y = -2(3y + 8) + -5y

Reorder the terms:
-26 + 5y = -2(8 + 3y) + -5y
-26 + 5y = (8 * -2 + 3y * -2) + -5y
-26 + 5y = (-16 + -6y) + -5y

Combine like terms: -6y + -5y = -11y
-26 + 5y = -16 + -11y

Solving
-26 + 5y = -16 + -11y

Solving for variable 'y'.

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

Add '11y' to each side of the equation.
-26 + 5y + 11y = -16 + -11y + 11y

Combine like terms: 5y + 11y = 16y
-26 + 16y = -16 + -11y + 11y

Combine like terms: -11y + 11y = 0
-26 + 16y = -16 + 0
-26 + 16y = -16

Add '26' to each side of the equation.
-26 + 26 + 16y = -16 + 26

Combine like terms: -26 + 26 = 0
0 + 16y = -16 + 26
16y = -16 + 26

Combine like terms: -16 + 26 = 10
16y = 10

Divide each side by '16'.
y = 0.625

Simplifying
y = 0.625

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