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Simplifying 13(8y + -12) + 15(5 + y) = 1109 Reorder the terms: 13(-12 + 8y) + 15(5 + y) = 1109 (-12 * 13 + 8y * 13) + 15(5 + y) = 1109 (-156 + 104y) + 15(5 + y) = 1109 -156 + 104y + (5 * 15 + y * 15) = 1109 -156 + 104y + (75 + 15y) = 1109 Reorder the terms: -156 + 75 + 104y + 15y = 1109 Combine like terms: -156 + 75 = -81 -81 + 104y + 15y = 1109 Combine like terms: 104y + 15y = 119y -81 + 119y = 1109 Solving -81 + 119y = 1109 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 119y = 1109 + 81 Combine like terms: -81 + 81 = 0 0 + 119y = 1109 + 81 119y = 1109 + 81 Combine like terms: 1109 + 81 = 1190 119y = 1190 Divide each side by '119'. y = 10 Simplifying y = 10
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