(9y-4)-(2y-6)=12

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Solution for (9y-4)-(2y-6)=12 equation:


Simplifying
(9y + -4) + -1(2y + -6) = 12

Reorder the terms:
(-4 + 9y) + -1(2y + -6) = 12

Remove parenthesis around (-4 + 9y)
-4 + 9y + -1(2y + -6) = 12

Reorder the terms:
-4 + 9y + -1(-6 + 2y) = 12
-4 + 9y + (-6 * -1 + 2y * -1) = 12
-4 + 9y + (6 + -2y) = 12

Reorder the terms:
-4 + 6 + 9y + -2y = 12

Combine like terms: -4 + 6 = 2
2 + 9y + -2y = 12

Combine like terms: 9y + -2y = 7y
2 + 7y = 12

Solving
2 + 7y = 12

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 7y = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 7y = 12 + -2
7y = 12 + -2

Combine like terms: 12 + -2 = 10
7y = 10

Divide each side by '7'.
y = 1.428571429

Simplifying
y = 1.428571429

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