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Simplifying 9(y + -5) = 10y + -8 Reorder the terms: 9(-5 + y) = 10y + -8 (-5 * 9 + y * 9) = 10y + -8 (-45 + 9y) = 10y + -8 Reorder the terms: -45 + 9y = -8 + 10y Solving -45 + 9y = -8 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -45 + 9y + -10y = -8 + 10y + -10y Combine like terms: 9y + -10y = -1y -45 + -1y = -8 + 10y + -10y Combine like terms: 10y + -10y = 0 -45 + -1y = -8 + 0 -45 + -1y = -8 Add '45' to each side of the equation. -45 + 45 + -1y = -8 + 45 Combine like terms: -45 + 45 = 0 0 + -1y = -8 + 45 -1y = -8 + 45 Combine like terms: -8 + 45 = 37 -1y = 37 Divide each side by '-1'. y = -37 Simplifying y = -37
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