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Simplifying 15(5 + -1y) = 3y + 12 (5 * 15 + -1y * 15) = 3y + 12 (75 + -15y) = 3y + 12 Reorder the terms: 75 + -15y = 12 + 3y Solving 75 + -15y = 12 + 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. 75 + -15y + -3y = 12 + 3y + -3y Combine like terms: -15y + -3y = -18y 75 + -18y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 75 + -18y = 12 + 0 75 + -18y = 12 Add '-75' to each side of the equation. 75 + -75 + -18y = 12 + -75 Combine like terms: 75 + -75 = 0 0 + -18y = 12 + -75 -18y = 12 + -75 Combine like terms: 12 + -75 = -63 -18y = -63 Divide each side by '-18'. y = 3.5 Simplifying y = 3.5
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