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

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


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

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

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

Combine like terms: 4y + -5y = -1y
-3 + -1y = 2y + -1(y + -1)

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

Reorder the terms:
-3 + -1y = 1 + 2y + -1y

Combine like terms: 2y + -1y = 1y
-3 + -1y = 1 + 1y

Solving
-3 + -1y = 1 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-3 + -1y + -1y = 1 + 1y + -1y

Combine like terms: -1y + -1y = -2y
-3 + -2y = 1 + 1y + -1y

Combine like terms: 1y + -1y = 0
-3 + -2y = 1 + 0
-3 + -2y = 1

Add '3' to each side of the equation.
-3 + 3 + -2y = 1 + 3

Combine like terms: -3 + 3 = 0
0 + -2y = 1 + 3
-2y = 1 + 3

Combine like terms: 1 + 3 = 4
-2y = 4

Divide each side by '-2'.
y = -2

Simplifying
y = -2

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