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

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Solution for 3y-4(4y-5)=1-2(1-y) equation: 


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

Reorder the terms:
3y + -4(-5 + 4y) = 1 + -2(1 + -1y)
3y + (-5 * -4 + 4y * -4) = 1 + -2(1 + -1y)
3y + (20 + -16y) = 1 + -2(1 + -1y)

Reorder the terms:
20 + 3y + -16y = 1 + -2(1 + -1y)

Combine like terms: 3y + -16y = -13y
20 + -13y = 1 + -2(1 + -1y)
20 + -13y = 1 + (1 * -2 + -1y * -2)
20 + -13y = 1 + (-2 + 2y)

Combine like terms: 1 + -2 = -1
20 + -13y = -1 + 2y

Solving
20 + -13y = -1 + 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.
20 + -13y + -2y = -1 + 2y + -2y

Combine like terms: -13y + -2y = -15y
20 + -15y = -1 + 2y + -2y

Combine like terms: 2y + -2y = 0
20 + -15y = -1 + 0
20 + -15y = -1

Add '-20' to each side of the equation.
20 + -20 + -15y = -1 + -20

Combine like terms: 20 + -20 = 0
0 + -15y = -1 + -20
-15y = -1 + -20

Combine like terms: -1 + -20 = -21
-15y = -21

Divide each side by '-15'.
y = 1.4

Simplifying
y = 1.4

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