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

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


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

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

Combine like terms: 5 + 4 = 9
9 + -4y = 2y + (y + -3)

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

Remove parenthesis around (-3 + y)
9 + -4y = 2y + -3 + y

Reorder the terms:
9 + -4y = -3 + 2y + y

Combine like terms: 2y + y = 3y
9 + -4y = -3 + 3y

Solving
9 + -4y = -3 + 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.
9 + -4y + -3y = -3 + 3y + -3y

Combine like terms: -4y + -3y = -7y
9 + -7y = -3 + 3y + -3y

Combine like terms: 3y + -3y = 0
9 + -7y = -3 + 0
9 + -7y = -3

Add '-9' to each side of the equation.
9 + -9 + -7y = -3 + -9

Combine like terms: 9 + -9 = 0
0 + -7y = -3 + -9
-7y = -3 + -9

Combine like terms: -3 + -9 = -12
-7y = -12

Divide each side by '-7'.
y = 1.714285714

Simplifying
y = 1.714285714

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