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Simplifying 7y + 2(y + -8) = 3(y + 2) + -5 Reorder the terms: 7y + 2(-8 + y) = 3(y + 2) + -5 7y + (-8 * 2 + y * 2) = 3(y + 2) + -5 7y + (-16 + 2y) = 3(y + 2) + -5 Reorder the terms: -16 + 7y + 2y = 3(y + 2) + -5 Combine like terms: 7y + 2y = 9y -16 + 9y = 3(y + 2) + -5 Reorder the terms: -16 + 9y = 3(2 + y) + -5 -16 + 9y = (2 * 3 + y * 3) + -5 -16 + 9y = (6 + 3y) + -5 Reorder the terms: -16 + 9y = 6 + -5 + 3y Combine like terms: 6 + -5 = 1 -16 + 9y = 1 + 3y Solving -16 + 9y = 1 + 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. -16 + 9y + -3y = 1 + 3y + -3y Combine like terms: 9y + -3y = 6y -16 + 6y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -16 + 6y = 1 + 0 -16 + 6y = 1 Add '16' to each side of the equation. -16 + 16 + 6y = 1 + 16 Combine like terms: -16 + 16 = 0 0 + 6y = 1 + 16 6y = 1 + 16 Combine like terms: 1 + 16 = 17 6y = 17 Divide each side by '6'. y = 2.833333333 Simplifying y = 2.833333333
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