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Simplifying 7y + 2(y + -9) = 6(y + 1) + -2 Reorder the terms: 7y + 2(-9 + y) = 6(y + 1) + -2 7y + (-9 * 2 + y * 2) = 6(y + 1) + -2 7y + (-18 + 2y) = 6(y + 1) + -2 Reorder the terms: -18 + 7y + 2y = 6(y + 1) + -2 Combine like terms: 7y + 2y = 9y -18 + 9y = 6(y + 1) + -2 Reorder the terms: -18 + 9y = 6(1 + y) + -2 -18 + 9y = (1 * 6 + y * 6) + -2 -18 + 9y = (6 + 6y) + -2 Reorder the terms: -18 + 9y = 6 + -2 + 6y Combine like terms: 6 + -2 = 4 -18 + 9y = 4 + 6y Solving -18 + 9y = 4 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -18 + 9y + -6y = 4 + 6y + -6y Combine like terms: 9y + -6y = 3y -18 + 3y = 4 + 6y + -6y Combine like terms: 6y + -6y = 0 -18 + 3y = 4 + 0 -18 + 3y = 4 Add '18' to each side of the equation. -18 + 18 + 3y = 4 + 18 Combine like terms: -18 + 18 = 0 0 + 3y = 4 + 18 3y = 4 + 18 Combine like terms: 4 + 18 = 22 3y = 22 Divide each side by '3'. y = 7.333333333 Simplifying y = 7.333333333
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