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Simplifying 3(y + -10) = 2(45 + -1y) Reorder the terms: 3(-10 + y) = 2(45 + -1y) (-10 * 3 + y * 3) = 2(45 + -1y) (-30 + 3y) = 2(45 + -1y) -30 + 3y = (45 * 2 + -1y * 2) -30 + 3y = (90 + -2y) Solving -30 + 3y = 90 + -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 + 3y + 2y = 90 + -2y + 2y Combine like terms: 3y + 2y = 5y -30 + 5y = 90 + -2y + 2y Combine like terms: -2y + 2y = 0 -30 + 5y = 90 + 0 -30 + 5y = 90 Add '30' to each side of the equation. -30 + 30 + 5y = 90 + 30 Combine like terms: -30 + 30 = 0 0 + 5y = 90 + 30 5y = 90 + 30 Combine like terms: 90 + 30 = 120 5y = 120 Divide each side by '5'. y = 24 Simplifying y = 24
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