11(y-10)=(4y-5)

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Solution for 11(y-10)=(4y-5) equation:


Simplifying
11(y + -10) = (4y + -5)

Reorder the terms:
11(-10 + y) = (4y + -5)
(-10 * 11 + y * 11) = (4y + -5)
(-110 + 11y) = (4y + -5)

Reorder the terms:
-110 + 11y = (-5 + 4y)

Remove parenthesis around (-5 + 4y)
-110 + 11y = -5 + 4y

Solving
-110 + 11y = -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.
-110 + 11y + -4y = -5 + 4y + -4y

Combine like terms: 11y + -4y = 7y
-110 + 7y = -5 + 4y + -4y

Combine like terms: 4y + -4y = 0
-110 + 7y = -5 + 0
-110 + 7y = -5

Add '110' to each side of the equation.
-110 + 110 + 7y = -5 + 110

Combine like terms: -110 + 110 = 0
0 + 7y = -5 + 110
7y = -5 + 110

Combine like terms: -5 + 110 = 105
7y = 105

Divide each side by '7'.
y = 15

Simplifying
y = 15

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