6(5y+7)=7(4x-11)

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Solution for 6(5y+7)=7(4x-11) equation:


Simplifying
6(5y + 7) = 7(4x + -11)

Reorder the terms:
6(7 + 5y) = 7(4x + -11)
(7 * 6 + 5y * 6) = 7(4x + -11)
(42 + 30y) = 7(4x + -11)

Reorder the terms:
42 + 30y = 7(-11 + 4x)
42 + 30y = (-11 * 7 + 4x * 7)
42 + 30y = (-77 + 28x)

Solving
42 + 30y = -77 + 28x

Solving for variable 'y'.

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

Add '-42' to each side of the equation.
42 + -42 + 30y = -77 + -42 + 28x

Combine like terms: 42 + -42 = 0
0 + 30y = -77 + -42 + 28x
30y = -77 + -42 + 28x

Combine like terms: -77 + -42 = -119
30y = -119 + 28x

Divide each side by '30'.
y = -3.966666667 + 0.9333333333x

Simplifying
y = -3.966666667 + 0.9333333333x

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