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

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


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

Reorder the terms:
2y + -5(5 + 4y) = -4 + -3(-4 + -1y)
2y + (5 * -5 + 4y * -5) = -4 + -3(-4 + -1y)
2y + (-25 + -20y) = -4 + -3(-4 + -1y)

Reorder the terms:
-25 + 2y + -20y = -4 + -3(-4 + -1y)

Combine like terms: 2y + -20y = -18y
-25 + -18y = -4 + -3(-4 + -1y)
-25 + -18y = -4 + (-4 * -3 + -1y * -3)
-25 + -18y = -4 + (12 + 3y)

Combine like terms: -4 + 12 = 8
-25 + -18y = 8 + 3y

Solving
-25 + -18y = 8 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-25 + -18y + -3y = 8 + 3y + -3y

Combine like terms: -18y + -3y = -21y
-25 + -21y = 8 + 3y + -3y

Combine like terms: 3y + -3y = 0
-25 + -21y = 8 + 0
-25 + -21y = 8

Add '25' to each side of the equation.
-25 + 25 + -21y = 8 + 25

Combine like terms: -25 + 25 = 0
0 + -21y = 8 + 25
-21y = 8 + 25

Combine like terms: 8 + 25 = 33
-21y = 33

Divide each side by '-21'.
y = -1.571428571

Simplifying
y = -1.571428571

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