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Simplifying 7y + 2(y + -9) = 3(y + -1) + -2 Reorder the terms: 7y + 2(-9 + y) = 3(y + -1) + -2 7y + (-9 * 2 + y * 2) = 3(y + -1) + -2 7y + (-18 + 2y) = 3(y + -1) + -2 Reorder the terms: -18 + 7y + 2y = 3(y + -1) + -2 Combine like terms: 7y + 2y = 9y -18 + 9y = 3(y + -1) + -2 Reorder the terms: -18 + 9y = 3(-1 + y) + -2 -18 + 9y = (-1 * 3 + y * 3) + -2 -18 + 9y = (-3 + 3y) + -2 Reorder the terms: -18 + 9y = -3 + -2 + 3y Combine like terms: -3 + -2 = -5 -18 + 9y = -5 + 3y Solving -18 + 9y = -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. -18 + 9y + -3y = -5 + 3y + -3y Combine like terms: 9y + -3y = 6y -18 + 6y = -5 + 3y + -3y Combine like terms: 3y + -3y = 0 -18 + 6y = -5 + 0 -18 + 6y = -5 Add '18' to each side of the equation. -18 + 18 + 6y = -5 + 18 Combine like terms: -18 + 18 = 0 0 + 6y = -5 + 18 6y = -5 + 18 Combine like terms: -5 + 18 = 13 6y = 13 Divide each side by '6'. y = 2.166666667 Simplifying y = 2.166666667
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