(15-6)2y+3(4-7)-2+3y-3(2-4y)=0

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Solution for (15-6)2y+3(4-7)-2+3y-3(2-4y)=0 equation:


Simplifying
(15 + -6) * 2y + 3(4 + -7) + -2 + 3y + -3(2 + -4y) = 0

Combine like terms: 15 + -6 = 9
(9) * 2y + 3(4 + -7) + -2 + 3y + -3(2 + -4y) = 0

Multiply 9 * 2
18y + 3(4 + -7) + -2 + 3y + -3(2 + -4y) = 0

Combine like terms: 4 + -7 = -3
18y + 3(-3) + -2 + 3y + -3(2 + -4y) = 0

Multiply 3 * -3
18y + -9 + -2 + 3y + -3(2 + -4y) = 0
18y + -9 + -2 + 3y + (2 * -3 + -4y * -3) = 0
18y + -9 + -2 + 3y + (-6 + 12y) = 0

Reorder the terms:
-9 + -2 + -6 + 18y + 3y + 12y = 0

Combine like terms: -9 + -2 = -11
-11 + -6 + 18y + 3y + 12y = 0

Combine like terms: -11 + -6 = -17
-17 + 18y + 3y + 12y = 0

Combine like terms: 18y + 3y = 21y
-17 + 21y + 12y = 0

Combine like terms: 21y + 12y = 33y
-17 + 33y = 0

Solving
-17 + 33y = 0

Solving for variable 'y'.

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

Add '17' to each side of the equation.
-17 + 17 + 33y = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 33y = 0 + 17
33y = 0 + 17

Combine like terms: 0 + 17 = 17
33y = 17

Divide each side by '33'.
y = 0.5151515152

Simplifying
y = 0.5151515152

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