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Simplifying 8(8 + -1y) = -2(y + -5) (8 * 8 + -1y * 8) = -2(y + -5) (64 + -8y) = -2(y + -5) Reorder the terms: 64 + -8y = -2(-5 + y) 64 + -8y = (-5 * -2 + y * -2) 64 + -8y = (10 + -2y) Solving 64 + -8y = 10 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 64 + -8y + 2y = 10 + -2y + 2y Combine like terms: -8y + 2y = -6y 64 + -6y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 64 + -6y = 10 + 0 64 + -6y = 10 Add '-64' to each side of the equation. 64 + -64 + -6y = 10 + -64 Combine like terms: 64 + -64 = 0 0 + -6y = 10 + -64 -6y = 10 + -64 Combine like terms: 10 + -64 = -54 -6y = -54 Divide each side by '-6'. y = 9 Simplifying y = 9
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