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Simplifying 6(4y + 14) + -13(9y) = 100 Reorder the terms: 6(14 + 4y) + -13(9y) = 100 (14 * 6 + 4y * 6) + -13(9y) = 100 (84 + 24y) + -13(9y) = 100 Remove parenthesis around (9y) 84 + 24y + -13 * 9y = 100 Multiply -13 * 9 84 + 24y + -117y = 100 Combine like terms: 24y + -117y = -93y 84 + -93y = 100 Solving 84 + -93y = 100 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -93y = 100 + -84 Combine like terms: 84 + -84 = 0 0 + -93y = 100 + -84 -93y = 100 + -84 Combine like terms: 100 + -84 = 16 -93y = 16 Divide each side by '-93'. y = -0.1720430108 Simplifying y = -0.1720430108
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