9y-5-3y=10(y+1)-5

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Solution for 9y-5-3y=10(y+1)-5 equation:


Simplifying
9y + -5 + -3y = 10(y + 1) + -5

Reorder the terms:
-5 + 9y + -3y = 10(y + 1) + -5

Combine like terms: 9y + -3y = 6y
-5 + 6y = 10(y + 1) + -5

Reorder the terms:
-5 + 6y = 10(1 + y) + -5
-5 + 6y = (1 * 10 + y * 10) + -5
-5 + 6y = (10 + 10y) + -5

Reorder the terms:
-5 + 6y = 10 + -5 + 10y

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

Solving
-5 + 6y = 5 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-5 + 6y + -10y = 5 + 10y + -10y

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

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

Add '5' to each side of the equation.
-5 + 5 + -4y = 5 + 5

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

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

Divide each side by '-4'.
y = -2.5

Simplifying
y = -2.5

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