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Simplifying -5(4y + -10) + -1y = -3(y + -3) Reorder the terms: -5(-10 + 4y) + -1y = -3(y + -3) (-10 * -5 + 4y * -5) + -1y = -3(y + -3) (50 + -20y) + -1y = -3(y + -3) Combine like terms: -20y + -1y = -21y 50 + -21y = -3(y + -3) Reorder the terms: 50 + -21y = -3(-3 + y) 50 + -21y = (-3 * -3 + y * -3) 50 + -21y = (9 + -3y) Solving 50 + -21y = 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 + -21y + 3y = 9 + -3y + 3y Combine like terms: -21y + 3y = -18y 50 + -18y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 50 + -18y = 9 + 0 50 + -18y = 9 Add '-50' to each side of the equation. 50 + -50 + -18y = 9 + -50 Combine like terms: 50 + -50 = 0 0 + -18y = 9 + -50 -18y = 9 + -50 Combine like terms: 9 + -50 = -41 -18y = -41 Divide each side by '-18'. y = 2.277777778 Simplifying y = 2.277777778
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