5(y+4)=7(x-2)

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Solution for 5(y+4)=7(x-2) equation:


Simplifying
5(y + 4) = 7(x + -2)

Reorder the terms:
5(4 + y) = 7(x + -2)
(4 * 5 + y * 5) = 7(x + -2)
(20 + 5y) = 7(x + -2)

Reorder the terms:
20 + 5y = 7(-2 + x)
20 + 5y = (-2 * 7 + x * 7)
20 + 5y = (-14 + 7x)

Solving
20 + 5y = -14 + 7x

Solving for variable 'y'.

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

Add '-20' to each side of the equation.
20 + -20 + 5y = -14 + -20 + 7x

Combine like terms: 20 + -20 = 0
0 + 5y = -14 + -20 + 7x
5y = -14 + -20 + 7x

Combine like terms: -14 + -20 = -34
5y = -34 + 7x

Divide each side by '5'.
y = -6.8 + 1.4x

Simplifying
y = -6.8 + 1.4x

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