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Simplifying 5(y + 9) = 6y + -5 Reorder the terms: 5(9 + y) = 6y + -5 (9 * 5 + y * 5) = 6y + -5 (45 + 5y) = 6y + -5 Reorder the terms: 45 + 5y = -5 + 6y Solving 45 + 5y = -5 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 45 + 5y + -6y = -5 + 6y + -6y Combine like terms: 5y + -6y = -1y 45 + -1y = -5 + 6y + -6y Combine like terms: 6y + -6y = 0 45 + -1y = -5 + 0 45 + -1y = -5 Add '-45' to each side of the equation. 45 + -45 + -1y = -5 + -45 Combine like terms: 45 + -45 = 0 0 + -1y = -5 + -45 -1y = -5 + -45 Combine like terms: -5 + -45 = -50 -1y = -50 Divide each side by '-1'. y = 50 Simplifying y = 50
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