(2y-9)-(6y-3)=4y-6

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Solution for (2y-9)-(6y-3)=4y-6 equation:


Simplifying
(2y + -9) + -1(6y + -3) = 4y + -6

Reorder the terms:
(-9 + 2y) + -1(6y + -3) = 4y + -6

Remove parenthesis around (-9 + 2y)
-9 + 2y + -1(6y + -3) = 4y + -6

Reorder the terms:
-9 + 2y + -1(-3 + 6y) = 4y + -6
-9 + 2y + (-3 * -1 + 6y * -1) = 4y + -6
-9 + 2y + (3 + -6y) = 4y + -6

Reorder the terms:
-9 + 3 + 2y + -6y = 4y + -6

Combine like terms: -9 + 3 = -6
-6 + 2y + -6y = 4y + -6

Combine like terms: 2y + -6y = -4y
-6 + -4y = 4y + -6

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

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

Combine like terms: -6 + 6 = 0
0 + -4y = -6 + 6 + 4y
-4y = -6 + 6 + 4y

Combine like terms: -6 + 6 = 0
-4y = 0 + 4y
-4y = 4y

Solving
-4y = 4y

Solving for variable 'y'.

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

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

Combine like terms: -4y + -4y = -8y
-8y = 4y + -4y

Combine like terms: 4y + -4y = 0
-8y = 0

Divide each side by '-8'.
y = 0

Simplifying
y = 0

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