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Simplifying -5y + -8 = 2(2y + 5) Reorder the terms: -8 + -5y = 2(2y + 5) Reorder the terms: -8 + -5y = 2(5 + 2y) -8 + -5y = (5 * 2 + 2y * 2) -8 + -5y = (10 + 4y) Solving -8 + -5y = 10 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -8 + -5y + -4y = 10 + 4y + -4y Combine like terms: -5y + -4y = -9y -8 + -9y = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 -8 + -9y = 10 + 0 -8 + -9y = 10 Add '8' to each side of the equation. -8 + 8 + -9y = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -9y = 10 + 8 -9y = 10 + 8 Combine like terms: 10 + 8 = 18 -9y = 18 Divide each side by '-9'. y = -2 Simplifying y = -2
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