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

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


Simplifying
5(2 + -1y) + -1y = 4(3 + -2y)
(2 * 5 + -1y * 5) + -1y = 4(3 + -2y)
(10 + -5y) + -1y = 4(3 + -2y)

Combine like terms: -5y + -1y = -6y
10 + -6y = 4(3 + -2y)
10 + -6y = (3 * 4 + -2y * 4)
10 + -6y = (12 + -8y)

Solving
10 + -6y = 12 + -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.
10 + -6y + 8y = 12 + -8y + 8y

Combine like terms: -6y + 8y = 2y
10 + 2y = 12 + -8y + 8y

Combine like terms: -8y + 8y = 0
10 + 2y = 12 + 0
10 + 2y = 12

Add '-10' to each side of the equation.
10 + -10 + 2y = 12 + -10

Combine like terms: 10 + -10 = 0
0 + 2y = 12 + -10
2y = 12 + -10

Combine like terms: 12 + -10 = 2
2y = 2

Divide each side by '2'.
y = 1

Simplifying
y = 1

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