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

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


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

Reorder the terms:
2y + -5(-3 + 4y) = 4 + -2(5 + -1y)
2y + (-3 * -5 + 4y * -5) = 4 + -2(5 + -1y)
2y + (15 + -20y) = 4 + -2(5 + -1y)

Reorder the terms:
15 + 2y + -20y = 4 + -2(5 + -1y)

Combine like terms: 2y + -20y = -18y
15 + -18y = 4 + -2(5 + -1y)
15 + -18y = 4 + (5 * -2 + -1y * -2)
15 + -18y = 4 + (-10 + 2y)

Combine like terms: 4 + -10 = -6
15 + -18y = -6 + 2y

Solving
15 + -18y = -6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
15 + -18y + -2y = -6 + 2y + -2y

Combine like terms: -18y + -2y = -20y
15 + -20y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
15 + -20y = -6 + 0
15 + -20y = -6

Add '-15' to each side of the equation.
15 + -15 + -20y = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -20y = -6 + -15
-20y = -6 + -15

Combine like terms: -6 + -15 = -21
-20y = -21

Divide each side by '-20'.
y = 1.05

Simplifying
y = 1.05

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