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

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


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

Reorder the terms:
4y + -5(-2 + 2y) = 3 + -4(2 + -1y)
4y + (-2 * -5 + 2y * -5) = 3 + -4(2 + -1y)
4y + (10 + -10y) = 3 + -4(2 + -1y)

Reorder the terms:
10 + 4y + -10y = 3 + -4(2 + -1y)

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

Combine like terms: 3 + -8 = -5
10 + -6y = -5 + 4y

Solving
10 + -6y = -5 + 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.
10 + -6y + -4y = -5 + 4y + -4y

Combine like terms: -6y + -4y = -10y
10 + -10y = -5 + 4y + -4y

Combine like terms: 4y + -4y = 0
10 + -10y = -5 + 0
10 + -10y = -5

Add '-10' to each side of the equation.
10 + -10 + -10y = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -10y = -5 + -10
-10y = -5 + -10

Combine like terms: -5 + -10 = -15
-10y = -15

Divide each side by '-10'.
y = 1.5

Simplifying
y = 1.5

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