9y-5-3y=4(y+1)-5

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Solution for 9y-5-3y=4(y+1)-5 equation:


Simplifying
9y + -5 + -3y = 4(y + 1) + -5

Reorder the terms:
-5 + 9y + -3y = 4(y + 1) + -5

Combine like terms: 9y + -3y = 6y
-5 + 6y = 4(y + 1) + -5

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

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

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

Solving
-5 + 6y = -1 + 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 = -1 + 4y + -4y

Combine like terms: 6y + -4y = 2y
-5 + 2y = -1 + 4y + -4y

Combine like terms: 4y + -4y = 0
-5 + 2y = -1 + 0
-5 + 2y = -1

Add '5' to each side of the equation.
-5 + 5 + 2y = -1 + 5

Combine like terms: -5 + 5 = 0
0 + 2y = -1 + 5
2y = -1 + 5

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

Divide each side by '2'.
y = 2

Simplifying
y = 2

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