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

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


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

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

Combine like terms: 1 + 15 = 16
16 + -3y = 4(2 + -3y)
16 + -3y = (2 * 4 + -3y * 4)
16 + -3y = (8 + -12y)

Solving
16 + -3y = 8 + -12y

Solving for variable 'y'.

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

Add '12y' to each side of the equation.
16 + -3y + 12y = 8 + -12y + 12y

Combine like terms: -3y + 12y = 9y
16 + 9y = 8 + -12y + 12y

Combine like terms: -12y + 12y = 0
16 + 9y = 8 + 0
16 + 9y = 8

Add '-16' to each side of the equation.
16 + -16 + 9y = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 9y = 8 + -16
9y = 8 + -16

Combine like terms: 8 + -16 = -8
9y = -8

Divide each side by '9'.
y = -0.8888888889

Simplifying
y = -0.8888888889

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