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Simplifying 15(3 + -5y) = 2(y + 3) (3 * 15 + -5y * 15) = 2(y + 3) (45 + -75y) = 2(y + 3) Reorder the terms: 45 + -75y = 2(3 + y) 45 + -75y = (3 * 2 + y * 2) 45 + -75y = (6 + 2y) Solving 45 + -75y = 6 + 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. 45 + -75y + -2y = 6 + 2y + -2y Combine like terms: -75y + -2y = -77y 45 + -77y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 45 + -77y = 6 + 0 45 + -77y = 6 Add '-45' to each side of the equation. 45 + -45 + -77y = 6 + -45 Combine like terms: 45 + -45 = 0 0 + -77y = 6 + -45 -77y = 6 + -45 Combine like terms: 6 + -45 = -39 -77y = -39 Divide each side by '-77'. y = 0.5064935065 Simplifying y = 0.5064935065
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