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

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


Simplifying
-5(y + 1) + -1y = 4(y + -1) + 9

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

Combine like terms: -5y + -1y = -6y
-5 + -6y = 4(y + -1) + 9

Reorder the terms:
-5 + -6y = 4(-1 + y) + 9
-5 + -6y = (-1 * 4 + y * 4) + 9
-5 + -6y = (-4 + 4y) + 9

Reorder the terms:
-5 + -6y = -4 + 9 + 4y

Combine like terms: -4 + 9 = 5
-5 + -6y = 5 + 4y

Solving
-5 + -6y = 5 + 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.
-5 + -6y + -4y = 5 + 4y + -4y

Combine like terms: -6y + -4y = -10y
-5 + -10y = 5 + 4y + -4y

Combine like terms: 4y + -4y = 0
-5 + -10y = 5 + 0
-5 + -10y = 5

Add '5' to each side of the equation.
-5 + 5 + -10y = 5 + 5

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

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

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

Simplifying
y = -1

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