7(2y-4)=3y-6

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


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

Reorder the terms:
7(-4 + 2y) = 3y + -6
(-4 * 7 + 2y * 7) = 3y + -6
(-28 + 14y) = 3y + -6

Reorder the terms:
-28 + 14y = -6 + 3y

Solving
-28 + 14y = -6 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-28 + 14y + -3y = -6 + 3y + -3y

Combine like terms: 14y + -3y = 11y
-28 + 11y = -6 + 3y + -3y

Combine like terms: 3y + -3y = 0
-28 + 11y = -6 + 0
-28 + 11y = -6

Add '28' to each side of the equation.
-28 + 28 + 11y = -6 + 28

Combine like terms: -28 + 28 = 0
0 + 11y = -6 + 28
11y = -6 + 28

Combine like terms: -6 + 28 = 22
11y = 22

Divide each side by '11'.
y = 2

Simplifying
y = 2

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