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Simplifying 15 + -1(-3 + -4y) = 2(y + 2) 15 + (-3 * -1 + -4y * -1) = 2(y + 2) 15 + (3 + 4y) = 2(y + 2) Combine like terms: 15 + 3 = 18 18 + 4y = 2(y + 2) Reorder the terms: 18 + 4y = 2(2 + y) 18 + 4y = (2 * 2 + y * 2) 18 + 4y = (4 + 2y) Solving 18 + 4y = 4 + 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. 18 + 4y + -2y = 4 + 2y + -2y Combine like terms: 4y + -2y = 2y 18 + 2y = 4 + 2y + -2y Combine like terms: 2y + -2y = 0 18 + 2y = 4 + 0 18 + 2y = 4 Add '-18' to each side of the equation. 18 + -18 + 2y = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 2y = 4 + -18 2y = 4 + -18 Combine like terms: 4 + -18 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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