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

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


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

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

Combine like terms: 5 + 3 = 8
8 + -3y = 4y + (y + -2)

Reorder the terms:
8 + -3y = 4y + (-2 + y)

Remove parenthesis around (-2 + y)
8 + -3y = 4y + -2 + y

Reorder the terms:
8 + -3y = -2 + 4y + y

Combine like terms: 4y + y = 5y
8 + -3y = -2 + 5y

Solving
8 + -3y = -2 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
8 + -3y + -5y = -2 + 5y + -5y

Combine like terms: -3y + -5y = -8y
8 + -8y = -2 + 5y + -5y

Combine like terms: 5y + -5y = 0
8 + -8y = -2 + 0
8 + -8y = -2

Add '-8' to each side of the equation.
8 + -8 + -8y = -2 + -8

Combine like terms: 8 + -8 = 0
0 + -8y = -2 + -8
-8y = -2 + -8

Combine like terms: -2 + -8 = -10
-8y = -10

Divide each side by '-8'.
y = 1.25

Simplifying
y = 1.25

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