2y+8(y+1)+5(x+5)=0

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Solution for 2y+8(y+1)+5(x+5)=0 equation:


Simplifying
2y + 8(y + 1) + 5(x + 5) = 0

Reorder the terms:
2y + 8(1 + y) + 5(x + 5) = 0
2y + (1 * 8 + y * 8) + 5(x + 5) = 0
2y + (8 + 8y) + 5(x + 5) = 0

Reorder the terms:
2y + 8 + 8y + 5(5 + x) = 0
2y + 8 + 8y + (5 * 5 + x * 5) = 0
2y + 8 + 8y + (25 + 5x) = 0

Reorder the terms:
8 + 25 + 5x + 2y + 8y = 0

Combine like terms: 8 + 25 = 33
33 + 5x + 2y + 8y = 0

Combine like terms: 2y + 8y = 10y
33 + 5x + 10y = 0

Solving
33 + 5x + 10y = 0

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + 5x + -33 + 10y = 0 + -33

Reorder the terms:
33 + -33 + 5x + 10y = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 5x + 10y = 0 + -33
5x + 10y = 0 + -33

Combine like terms: 0 + -33 = -33
5x + 10y = -33

Add '-10y' to each side of the equation.
5x + 10y + -10y = -33 + -10y

Combine like terms: 10y + -10y = 0
5x + 0 = -33 + -10y
5x = -33 + -10y

Divide each side by '5'.
x = -6.6 + -2y

Simplifying
x = -6.6 + -2y

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