-4(y+3)=y-8+5(2y+1)

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Solution for -4(y+3)=y-8+5(2y+1) equation:


Simplifying
-4(y + 3) = y + -8 + 5(2y + 1)

Reorder the terms:
-4(3 + y) = y + -8 + 5(2y + 1)
(3 * -4 + y * -4) = y + -8 + 5(2y + 1)
(-12 + -4y) = y + -8 + 5(2y + 1)

Reorder the terms:
-12 + -4y = y + -8 + 5(1 + 2y)
-12 + -4y = y + -8 + (1 * 5 + 2y * 5)
-12 + -4y = y + -8 + (5 + 10y)

Reorder the terms:
-12 + -4y = -8 + 5 + y + 10y

Combine like terms: -8 + 5 = -3
-12 + -4y = -3 + y + 10y

Combine like terms: y + 10y = 11y
-12 + -4y = -3 + 11y

Solving
-12 + -4y = -3 + 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.
-12 + -4y + -11y = -3 + 11y + -11y

Combine like terms: -4y + -11y = -15y
-12 + -15y = -3 + 11y + -11y

Combine like terms: 11y + -11y = 0
-12 + -15y = -3 + 0
-12 + -15y = -3

Add '12' to each side of the equation.
-12 + 12 + -15y = -3 + 12

Combine like terms: -12 + 12 = 0
0 + -15y = -3 + 12
-15y = -3 + 12

Combine like terms: -3 + 12 = 9
-15y = 9

Divide each side by '-15'.
y = -0.6

Simplifying
y = -0.6

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