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