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

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


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

Reorder the terms:
y + -3 + 2(4 + 5y) = -4(y + 1)
y + -3 + (4 * 2 + 5y * 2) = -4(y + 1)
y + -3 + (8 + 10y) = -4(y + 1)

Reorder the terms:
-3 + 8 + y + 10y = -4(y + 1)

Combine like terms: -3 + 8 = 5
5 + y + 10y = -4(y + 1)

Combine like terms: y + 10y = 11y
5 + 11y = -4(y + 1)

Reorder the terms:
5 + 11y = -4(1 + y)
5 + 11y = (1 * -4 + y * -4)
5 + 11y = (-4 + -4y)

Solving
5 + 11y = -4 + -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.
5 + 11y + 4y = -4 + -4y + 4y

Combine like terms: 11y + 4y = 15y
5 + 15y = -4 + -4y + 4y

Combine like terms: -4y + 4y = 0
5 + 15y = -4 + 0
5 + 15y = -4

Add '-5' to each side of the equation.
5 + -5 + 15y = -4 + -5

Combine like terms: 5 + -5 = 0
0 + 15y = -4 + -5
15y = -4 + -5

Combine like terms: -4 + -5 = -9
15y = -9

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

Simplifying
y = -0.6

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