6y-(4-2y)=17+(-12)-y

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Solution for 6y-(4-2y)=17+(-12)-y equation:


Simplifying
6y + -1(4 + -2y) = 17 + (-12) + -1y
6y + (4 * -1 + -2y * -1) = 17 + (-12) + -1y
6y + (-4 + 2y) = 17 + (-12) + -1y

Reorder the terms:
-4 + 6y + 2y = 17 + (-12) + -1y

Combine like terms: 6y + 2y = 8y
-4 + 8y = 17 + (-12) + -1y
-4 + 8y = 17 + -12 + -1y

Combine like terms: 17 + -12 = 5
-4 + 8y = 5 + -1y

Solving
-4 + 8y = 5 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-4 + 8y + y = 5 + -1y + y

Combine like terms: 8y + y = 9y
-4 + 9y = 5 + -1y + y

Combine like terms: -1y + y = 0
-4 + 9y = 5 + 0
-4 + 9y = 5

Add '4' to each side of the equation.
-4 + 4 + 9y = 5 + 4

Combine like terms: -4 + 4 = 0
0 + 9y = 5 + 4
9y = 5 + 4

Combine like terms: 5 + 4 = 9
9y = 9

Divide each side by '9'.
y = 1

Simplifying
y = 1

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