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

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


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

Solving
18 + 15y = -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.
18 + 15y + -8y = -10 + 8y + -8y

Combine like terms: 15y + -8y = 7y
18 + 7y = -10 + 8y + -8y

Combine like terms: 8y + -8y = 0
18 + 7y = -10 + 0
18 + 7y = -10

Add '-18' to each side of the equation.
18 + -18 + 7y = -10 + -18

Combine like terms: 18 + -18 = 0
0 + 7y = -10 + -18
7y = -10 + -18

Combine like terms: -10 + -18 = -28
7y = -28

Divide each side by '7'.
y = -4

Simplifying
y = -4

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