-3(y-3y)+4=-4(3y-3)+6+13+y

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Solution for -3(y-3y)+4=-4(3y-3)+6+13+y equation:


Simplifying
-3(y + -3y) + 4 = -4(3y + -3) + 6 + 13 + y

Combine like terms: y + -3y = -2y
-3(-2y) + 4 = -4(3y + -3) + 6 + 13 + y

Remove parenthesis around (-2y)
-3 * -2y + 4 = -4(3y + -3) + 6 + 13 + y

Multiply -3 * -2
6y + 4 = -4(3y + -3) + 6 + 13 + y

Reorder the terms:
4 + 6y = -4(3y + -3) + 6 + 13 + y

Reorder the terms:
4 + 6y = -4(-3 + 3y) + 6 + 13 + y
4 + 6y = (-3 * -4 + 3y * -4) + 6 + 13 + y
4 + 6y = (12 + -12y) + 6 + 13 + y

Reorder the terms:
4 + 6y = 12 + 6 + 13 + -12y + y

Combine like terms: 12 + 6 = 18
4 + 6y = 18 + 13 + -12y + y

Combine like terms: 18 + 13 = 31
4 + 6y = 31 + -12y + y

Combine like terms: -12y + y = -11y
4 + 6y = 31 + -11y

Solving
4 + 6y = 31 + -11y

Solving for variable 'y'.

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

Add '11y' to each side of the equation.
4 + 6y + 11y = 31 + -11y + 11y

Combine like terms: 6y + 11y = 17y
4 + 17y = 31 + -11y + 11y

Combine like terms: -11y + 11y = 0
4 + 17y = 31 + 0
4 + 17y = 31

Add '-4' to each side of the equation.
4 + -4 + 17y = 31 + -4

Combine like terms: 4 + -4 = 0
0 + 17y = 31 + -4
17y = 31 + -4

Combine like terms: 31 + -4 = 27
17y = 27

Divide each side by '17'.
y = 1.588235294

Simplifying
y = 1.588235294

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