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Simplifying 9(y + -5) = 4y + -10 Reorder the terms: 9(-5 + y) = 4y + -10 (-5 * 9 + y * 9) = 4y + -10 (-45 + 9y) = 4y + -10 Reorder the terms: -45 + 9y = -10 + 4y Solving -45 + 9y = -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. -45 + 9y + -4y = -10 + 4y + -4y Combine like terms: 9y + -4y = 5y -45 + 5y = -10 + 4y + -4y Combine like terms: 4y + -4y = 0 -45 + 5y = -10 + 0 -45 + 5y = -10 Add '45' to each side of the equation. -45 + 45 + 5y = -10 + 45 Combine like terms: -45 + 45 = 0 0 + 5y = -10 + 45 5y = -10 + 45 Combine like terms: -10 + 45 = 35 5y = 35 Divide each side by '5'. y = 7 Simplifying y = 7
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