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

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


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

Reorder the terms:
15 + -6y = 4(-2 + y)
15 + -6y = (-2 * 4 + y * 4)
15 + -6y = (-8 + 4y)

Solving
15 + -6y = -8 + 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.
15 + -6y + -4y = -8 + 4y + -4y

Combine like terms: -6y + -4y = -10y
15 + -10y = -8 + 4y + -4y

Combine like terms: 4y + -4y = 0
15 + -10y = -8 + 0
15 + -10y = -8

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

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

Combine like terms: -8 + -15 = -23
-10y = -23

Divide each side by '-10'.
y = 2.3

Simplifying
y = 2.3

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