2(y-3)-4(y-1)=-6

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Solution for 2(y-3)-4(y-1)=-6 equation:


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

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

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

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

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

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

Solving
-2 + -2y = -6

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 + -2y = -6 + 2

Combine like terms: -2 + 2 = 0
0 + -2y = -6 + 2
-2y = -6 + 2

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

Divide each side by '-2'.
y = 2

Simplifying
y = 2

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