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

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


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

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

Combine like terms: 2 + 5 = 7
7 + -5y = 4y + (y + -3)

Reorder the terms:
7 + -5y = 4y + (-3 + y)

Remove parenthesis around (-3 + y)
7 + -5y = 4y + -3 + y

Reorder the terms:
7 + -5y = -3 + 4y + y

Combine like terms: 4y + y = 5y
7 + -5y = -3 + 5y

Solving
7 + -5y = -3 + 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.
7 + -5y + -5y = -3 + 5y + -5y

Combine like terms: -5y + -5y = -10y
7 + -10y = -3 + 5y + -5y

Combine like terms: 5y + -5y = 0
7 + -10y = -3 + 0
7 + -10y = -3

Add '-7' to each side of the equation.
7 + -7 + -10y = -3 + -7

Combine like terms: 7 + -7 = 0
0 + -10y = -3 + -7
-10y = -3 + -7

Combine like terms: -3 + -7 = -10
-10y = -10

Divide each side by '-10'.
y = 1

Simplifying
y = 1

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