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Simplifying -5(3y + -10) + -1y = -3(y + -3) Reorder the terms: -5(-10 + 3y) + -1y = -3(y + -3) (-10 * -5 + 3y * -5) + -1y = -3(y + -3) (50 + -15y) + -1y = -3(y + -3) Combine like terms: -15y + -1y = -16y 50 + -16y = -3(y + -3) Reorder the terms: 50 + -16y = -3(-3 + y) 50 + -16y = (-3 * -3 + y * -3) 50 + -16y = (9 + -3y) Solving 50 + -16y = 9 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 50 + -16y + 3y = 9 + -3y + 3y Combine like terms: -16y + 3y = -13y 50 + -13y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 50 + -13y = 9 + 0 50 + -13y = 9 Add '-50' to each side of the equation. 50 + -50 + -13y = 9 + -50 Combine like terms: 50 + -50 = 0 0 + -13y = 9 + -50 -13y = 9 + -50 Combine like terms: 9 + -50 = -41 -13y = -41 Divide each side by '-13'. y = 3.153846154 Simplifying y = 3.153846154
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