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Simplifying 7 + 3(5y + -6) = -3(2y + -1) + 9y Reorder the terms: 7 + 3(-6 + 5y) = -3(2y + -1) + 9y 7 + (-6 * 3 + 5y * 3) = -3(2y + -1) + 9y 7 + (-18 + 15y) = -3(2y + -1) + 9y Combine like terms: 7 + -18 = -11 -11 + 15y = -3(2y + -1) + 9y Reorder the terms: -11 + 15y = -3(-1 + 2y) + 9y -11 + 15y = (-1 * -3 + 2y * -3) + 9y -11 + 15y = (3 + -6y) + 9y Combine like terms: -6y + 9y = 3y -11 + 15y = 3 + 3y Solving -11 + 15y = 3 + 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. -11 + 15y + -3y = 3 + 3y + -3y Combine like terms: 15y + -3y = 12y -11 + 12y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 -11 + 12y = 3 + 0 -11 + 12y = 3 Add '11' to each side of the equation. -11 + 11 + 12y = 3 + 11 Combine like terms: -11 + 11 = 0 0 + 12y = 3 + 11 12y = 3 + 11 Combine like terms: 3 + 11 = 14 12y = 14 Divide each side by '12'. y = 1.166666667 Simplifying y = 1.166666667
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