3(5+6y)=2(-5+4y)

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Solution for 3(5+6y)=2(-5+4y) equation:


Simplifying
3(5 + 6y) = 2(-5 + 4y)
(5 * 3 + 6y * 3) = 2(-5 + 4y)
(15 + 18y) = 2(-5 + 4y)
15 + 18y = (-5 * 2 + 4y * 2)
15 + 18y = (-10 + 8y)

Solving
15 + 18y = -10 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
15 + 18y + -8y = -10 + 8y + -8y

Combine like terms: 18y + -8y = 10y
15 + 10y = -10 + 8y + -8y

Combine like terms: 8y + -8y = 0
15 + 10y = -10 + 0
15 + 10y = -10

Add '-15' to each side of the equation.
15 + -15 + 10y = -10 + -15

Combine like terms: 15 + -15 = 0
0 + 10y = -10 + -15
10y = -10 + -15

Combine like terms: -10 + -15 = -25
10y = -25

Divide each side by '10'.
y = -2.5

Simplifying
y = -2.5

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