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Simplifying y + 8 = 5(y + 1) + -9 Reorder the terms: 8 + y = 5(y + 1) + -9 Reorder the terms: 8 + y = 5(1 + y) + -9 8 + y = (1 * 5 + y * 5) + -9 8 + y = (5 + 5y) + -9 Reorder the terms: 8 + y = 5 + -9 + 5y Combine like terms: 5 + -9 = -4 8 + y = -4 + 5y Solving 8 + y = -4 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 8 + y + -5y = -4 + 5y + -5y Combine like terms: y + -5y = -4y 8 + -4y = -4 + 5y + -5y Combine like terms: 5y + -5y = 0 8 + -4y = -4 + 0 8 + -4y = -4 Add '-8' to each side of the equation. 8 + -8 + -4y = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -4y = -4 + -8 -4y = -4 + -8 Combine like terms: -4 + -8 = -12 -4y = -12 Divide each side by '-4'. y = 3 Simplifying y = 3
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