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Simplifying 13(y + -5) + -10(y + 2) = 89 Reorder the terms: 13(-5 + y) + -10(y + 2) = 89 (-5 * 13 + y * 13) + -10(y + 2) = 89 (-65 + 13y) + -10(y + 2) = 89 Reorder the terms: -65 + 13y + -10(2 + y) = 89 -65 + 13y + (2 * -10 + y * -10) = 89 -65 + 13y + (-20 + -10y) = 89 Reorder the terms: -65 + -20 + 13y + -10y = 89 Combine like terms: -65 + -20 = -85 -85 + 13y + -10y = 89 Combine like terms: 13y + -10y = 3y -85 + 3y = 89 Solving -85 + 3y = 89 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + 3y = 89 + 85 Combine like terms: -85 + 85 = 0 0 + 3y = 89 + 85 3y = 89 + 85 Combine like terms: 89 + 85 = 174 3y = 174 Divide each side by '3'. y = 58 Simplifying y = 58
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