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Simplifying 15 + -1(3 + -5y) = 2(y + 3) 15 + (3 * -1 + -5y * -1) = 2(y + 3) 15 + (-3 + 5y) = 2(y + 3) Combine like terms: 15 + -3 = 12 12 + 5y = 2(y + 3) Reorder the terms: 12 + 5y = 2(3 + y) 12 + 5y = (3 * 2 + y * 2) 12 + 5y = (6 + 2y) Solving 12 + 5y = 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. 12 + 5y + -2y = 6 + 2y + -2y Combine like terms: 5y + -2y = 3y 12 + 3y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + 3y = 6 + 0 12 + 3y = 6 Add '-12' to each side of the equation. 12 + -12 + 3y = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = 6 + -12 3y = 6 + -12 Combine like terms: 6 + -12 = -6 3y = -6 Divide each side by '3'. y = -2 Simplifying y = -2
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