=-4+8(y-4)-7-5(x+2)+3y

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Solution for =-4+8(y-4)-7-5(x+2)+3y equation:


Simplifying
0 = -4 + 8(y + -4) + -7 + -5(x + 2) + 3y

Reorder the terms:
0 = -4 + 8(-4 + y) + -7 + -5(x + 2) + 3y
0 = -4 + (-4 * 8 + y * 8) + -7 + -5(x + 2) + 3y
0 = -4 + (-32 + 8y) + -7 + -5(x + 2) + 3y

Reorder the terms:
0 = -4 + -32 + 8y + -7 + -5(2 + x) + 3y
0 = -4 + -32 + 8y + -7 + (2 * -5 + x * -5) + 3y
0 = -4 + -32 + 8y + -7 + (-10 + -5x) + 3y

Reorder the terms:
0 = -4 + -32 + -7 + -10 + -5x + 8y + 3y

Combine like terms: -4 + -32 = -36
0 = -36 + -7 + -10 + -5x + 8y + 3y

Combine like terms: -36 + -7 = -43
0 = -43 + -10 + -5x + 8y + 3y

Combine like terms: -43 + -10 = -53
0 = -53 + -5x + 8y + 3y

Combine like terms: 8y + 3y = 11y
0 = -53 + -5x + 11y

Solving
0 = -53 + -5x + 11y

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
0 + 5x = -53 + -5x + 5x + 11y
Remove the zero:
5x = -53 + -5x + 5x + 11y

Combine like terms: -5x + 5x = 0
5x = -53 + 0 + 11y
5x = -53 + 11y

Divide each side by '5'.
x = -10.6 + 2.2y

Simplifying
x = -10.6 + 2.2y

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