6(5y+5)=5(11y-4)

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Solution for 6(5y+5)=5(11y-4) equation:


Simplifying
6(5y + 5) = 5(11y + -4)

Reorder the terms:
6(5 + 5y) = 5(11y + -4)
(5 * 6 + 5y * 6) = 5(11y + -4)
(30 + 30y) = 5(11y + -4)

Reorder the terms:
30 + 30y = 5(-4 + 11y)
30 + 30y = (-4 * 5 + 11y * 5)
30 + 30y = (-20 + 55y)

Solving
30 + 30y = -20 + 55y

Solving for variable 'y'.

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

Add '-55y' to each side of the equation.
30 + 30y + -55y = -20 + 55y + -55y

Combine like terms: 30y + -55y = -25y
30 + -25y = -20 + 55y + -55y

Combine like terms: 55y + -55y = 0
30 + -25y = -20 + 0
30 + -25y = -20

Add '-30' to each side of the equation.
30 + -30 + -25y = -20 + -30

Combine like terms: 30 + -30 = 0
0 + -25y = -20 + -30
-25y = -20 + -30

Combine like terms: -20 + -30 = -50
-25y = -50

Divide each side by '-25'.
y = 2

Simplifying
y = 2

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