7(2y-4)=3(2y-11)

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Solution for 7(2y-4)=3(2y-11) equation:


Simplifying
7(2y + -4) = 3(2y + -11)

Reorder the terms:
7(-4 + 2y) = 3(2y + -11)
(-4 * 7 + 2y * 7) = 3(2y + -11)
(-28 + 14y) = 3(2y + -11)

Reorder the terms:
-28 + 14y = 3(-11 + 2y)
-28 + 14y = (-11 * 3 + 2y * 3)
-28 + 14y = (-33 + 6y)

Solving
-28 + 14y = -33 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-28 + 14y + -6y = -33 + 6y + -6y

Combine like terms: 14y + -6y = 8y
-28 + 8y = -33 + 6y + -6y

Combine like terms: 6y + -6y = 0
-28 + 8y = -33 + 0
-28 + 8y = -33

Add '28' to each side of the equation.
-28 + 28 + 8y = -33 + 28

Combine like terms: -28 + 28 = 0
0 + 8y = -33 + 28
8y = -33 + 28

Combine like terms: -33 + 28 = -5
8y = -5

Divide each side by '8'.
y = -0.625

Simplifying
y = -0.625

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