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

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


Simplifying
4(3 + -1y) + -2y = 5(4 + -2y)
(3 * 4 + -1y * 4) + -2y = 5(4 + -2y)
(12 + -4y) + -2y = 5(4 + -2y)

Combine like terms: -4y + -2y = -6y
12 + -6y = 5(4 + -2y)
12 + -6y = (4 * 5 + -2y * 5)
12 + -6y = (20 + -10y)

Solving
12 + -6y = 20 + -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.
12 + -6y + 10y = 20 + -10y + 10y

Combine like terms: -6y + 10y = 4y
12 + 4y = 20 + -10y + 10y

Combine like terms: -10y + 10y = 0
12 + 4y = 20 + 0
12 + 4y = 20

Add '-12' to each side of the equation.
12 + -12 + 4y = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 4y = 20 + -12
4y = 20 + -12

Combine like terms: 20 + -12 = 8
4y = 8

Divide each side by '4'.
y = 2

Simplifying
y = 2

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