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Simplifying -3(6y + -10) + -1y = -2(y + -5) Reorder the terms: -3(-10 + 6y) + -1y = -2(y + -5) (-10 * -3 + 6y * -3) + -1y = -2(y + -5) (30 + -18y) + -1y = -2(y + -5) Combine like terms: -18y + -1y = -19y 30 + -19y = -2(y + -5) Reorder the terms: 30 + -19y = -2(-5 + y) 30 + -19y = (-5 * -2 + y * -2) 30 + -19y = (10 + -2y) Solving 30 + -19y = 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. 30 + -19y + 2y = 10 + -2y + 2y Combine like terms: -19y + 2y = -17y 30 + -17y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 30 + -17y = 10 + 0 30 + -17y = 10 Add '-30' to each side of the equation. 30 + -30 + -17y = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -17y = 10 + -30 -17y = 10 + -30 Combine like terms: 10 + -30 = -20 -17y = -20 Divide each side by '-17'. y = 1.176470588 Simplifying y = 1.176470588
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