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Simplifying 2y + -2(y + 2) = -1(2y + 15) Reorder the terms: 2y + -2(2 + y) = -1(2y + 15) 2y + (2 * -2 + y * -2) = -1(2y + 15) 2y + (-4 + -2y) = -1(2y + 15) Reorder the terms: -4 + 2y + -2y = -1(2y + 15) Combine like terms: 2y + -2y = 0 -4 + 0 = -1(2y + 15) -4 = -1(2y + 15) Reorder the terms: -4 = -1(15 + 2y) -4 = (15 * -1 + 2y * -1) -4 = (-15 + -2y) Solving -4 = -15 + -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. -4 + 2y = -15 + -2y + 2y Combine like terms: -2y + 2y = 0 -4 + 2y = -15 + 0 -4 + 2y = -15 Add '4' to each side of the equation. -4 + 4 + 2y = -15 + 4 Combine like terms: -4 + 4 = 0 0 + 2y = -15 + 4 2y = -15 + 4 Combine like terms: -15 + 4 = -11 2y = -11 Divide each side by '2'. y = -5.5 Simplifying y = -5.5
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