6(4y-5)=5(11-2y)

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Solution for 6(4y-5)=5(11-2y) equation:


Simplifying
6(4y + -5) = 5(11 + -2y)

Reorder the terms:
6(-5 + 4y) = 5(11 + -2y)
(-5 * 6 + 4y * 6) = 5(11 + -2y)
(-30 + 24y) = 5(11 + -2y)
-30 + 24y = (11 * 5 + -2y * 5)
-30 + 24y = (55 + -10y)

Solving
-30 + 24y = 55 + -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.
-30 + 24y + 10y = 55 + -10y + 10y

Combine like terms: 24y + 10y = 34y
-30 + 34y = 55 + -10y + 10y

Combine like terms: -10y + 10y = 0
-30 + 34y = 55 + 0
-30 + 34y = 55

Add '30' to each side of the equation.
-30 + 30 + 34y = 55 + 30

Combine like terms: -30 + 30 = 0
0 + 34y = 55 + 30
34y = 55 + 30

Combine like terms: 55 + 30 = 85
34y = 85

Divide each side by '34'.
y = 2.5

Simplifying
y = 2.5

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