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Simplifying -3(5y + -10) + -1y = -2(y + -5) Reorder the terms: -3(-10 + 5y) + -1y = -2(y + -5) (-10 * -3 + 5y * -3) + -1y = -2(y + -5) (30 + -15y) + -1y = -2(y + -5) Combine like terms: -15y + -1y = -16y 30 + -16y = -2(y + -5) Reorder the terms: 30 + -16y = -2(-5 + y) 30 + -16y = (-5 * -2 + y * -2) 30 + -16y = (10 + -2y) Solving 30 + -16y = 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 + -16y + 2y = 10 + -2y + 2y Combine like terms: -16y + 2y = -14y 30 + -14y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 30 + -14y = 10 + 0 30 + -14y = 10 Add '-30' to each side of the equation. 30 + -30 + -14y = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -14y = 10 + -30 -14y = 10 + -30 Combine like terms: 10 + -30 = -20 -14y = -20 Divide each side by '-14'. y = 1.428571429 Simplifying y = 1.428571429
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