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Simplifying (6y + -10) + -1(9y + -15) = 0 Reorder the terms: (-10 + 6y) + -1(9y + -15) = 0 Remove parenthesis around (-10 + 6y) -10 + 6y + -1(9y + -15) = 0 Reorder the terms: -10 + 6y + -1(-15 + 9y) = 0 -10 + 6y + (-15 * -1 + 9y * -1) = 0 -10 + 6y + (15 + -9y) = 0 Reorder the terms: -10 + 15 + 6y + -9y = 0 Combine like terms: -10 + 15 = 5 5 + 6y + -9y = 0 Combine like terms: 6y + -9y = -3y 5 + -3y = 0 Solving 5 + -3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667
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