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Simplifying
(y2 + 4 + -2) + 5x = 5x + 80
Reorder the terms:
(4 + -2 + y2) + 5x = 5x + 80
Combine like terms: 4 + -2 = 2
(2 + y2) + 5x = 5x + 80
Remove parenthesis around (2 + y2)
2 + y2 + 5x = 5x + 80
Reorder the terms:
2 + 5x + y2 = 5x + 80
Reorder the terms:
2 + 5x + y2 = 80 + 5x
Add '-5x' to each side of the equation.
2 + 5x + -5x + y2 = 80 + 5x + -5x
Combine like terms: 5x + -5x = 0
2 + 0 + y2 = 80 + 5x + -5x
2 + y2 = 80 + 5x + -5x
Combine like terms: 5x + -5x = 0
2 + y2 = 80 + 0
2 + y2 = 80
Solving
2 + y2 = 80
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + y2 = 80 + -2
Combine like terms: 2 + -2 = 0
0 + y2 = 80 + -2
y2 = 80 + -2
Combine like terms: 80 + -2 = 78
y2 = 78
Simplifying
y2 = 78
Take the square root of each side:
y = {-8.831760866, 8.831760866}
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