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Simplifying -5(6y + -10) + -1y = -2(y + -5) Reorder the terms: -5(-10 + 6y) + -1y = -2(y + -5) (-10 * -5 + 6y * -5) + -1y = -2(y + -5) (50 + -30y) + -1y = -2(y + -5) Combine like terms: -30y + -1y = -31y 50 + -31y = -2(y + -5) Reorder the terms: 50 + -31y = -2(-5 + y) 50 + -31y = (-5 * -2 + y * -2) 50 + -31y = (10 + -2y) Solving 50 + -31y = 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. 50 + -31y + 2y = 10 + -2y + 2y Combine like terms: -31y + 2y = -29y 50 + -29y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 50 + -29y = 10 + 0 50 + -29y = 10 Add '-50' to each side of the equation. 50 + -50 + -29y = 10 + -50 Combine like terms: 50 + -50 = 0 0 + -29y = 10 + -50 -29y = 10 + -50 Combine like terms: 10 + -50 = -40 -29y = -40 Divide each side by '-29'. y = 1.379310345 Simplifying y = 1.379310345
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