4y-(9-2y)+3(y-5)=4(y-1)

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Solution for 4y-(9-2y)+3(y-5)=4(y-1) equation:


Simplifying
4y + -1(9 + -2y) + 3(y + -5) = 4(y + -1)
4y + (9 * -1 + -2y * -1) + 3(y + -5) = 4(y + -1)
4y + (-9 + 2y) + 3(y + -5) = 4(y + -1)

Reorder the terms:
4y + -9 + 2y + 3(-5 + y) = 4(y + -1)
4y + -9 + 2y + (-5 * 3 + y * 3) = 4(y + -1)
4y + -9 + 2y + (-15 + 3y) = 4(y + -1)

Reorder the terms:
-9 + -15 + 4y + 2y + 3y = 4(y + -1)

Combine like terms: -9 + -15 = -24
-24 + 4y + 2y + 3y = 4(y + -1)

Combine like terms: 4y + 2y = 6y
-24 + 6y + 3y = 4(y + -1)

Combine like terms: 6y + 3y = 9y
-24 + 9y = 4(y + -1)

Reorder the terms:
-24 + 9y = 4(-1 + y)
-24 + 9y = (-1 * 4 + y * 4)
-24 + 9y = (-4 + 4y)

Solving
-24 + 9y = -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.
-24 + 9y + -4y = -4 + 4y + -4y

Combine like terms: 9y + -4y = 5y
-24 + 5y = -4 + 4y + -4y

Combine like terms: 4y + -4y = 0
-24 + 5y = -4 + 0
-24 + 5y = -4

Add '24' to each side of the equation.
-24 + 24 + 5y = -4 + 24

Combine like terms: -24 + 24 = 0
0 + 5y = -4 + 24
5y = -4 + 24

Combine like terms: -4 + 24 = 20
5y = 20

Divide each side by '5'.
y = 4

Simplifying
y = 4

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