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Simplifying -2(y + 5) = 2y + 8 Reorder the terms: -2(5 + y) = 2y + 8 (5 * -2 + y * -2) = 2y + 8 (-10 + -2y) = 2y + 8 Reorder the terms: -10 + -2y = 8 + 2y Solving -10 + -2y = 8 + 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. -10 + -2y + -2y = 8 + 2y + -2y Combine like terms: -2y + -2y = -4y -10 + -4y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 -10 + -4y = 8 + 0 -10 + -4y = 8 Add '10' to each side of the equation. -10 + 10 + -4y = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -4y = 8 + 10 -4y = 8 + 10 Combine like terms: 8 + 10 = 18 -4y = 18 Divide each side by '-4'. y = -4.5 Simplifying y = -4.5
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