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Simplifying 7y + 2(y + -4) = 3(y + 1) Reorder the terms: 7y + 2(-4 + y) = 3(y + 1) 7y + (-4 * 2 + y * 2) = 3(y + 1) 7y + (-8 + 2y) = 3(y + 1) Reorder the terms: -8 + 7y + 2y = 3(y + 1) Combine like terms: 7y + 2y = 9y -8 + 9y = 3(y + 1) Reorder the terms: -8 + 9y = 3(1 + y) -8 + 9y = (1 * 3 + y * 3) -8 + 9y = (3 + 3y) Solving -8 + 9y = 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. -8 + 9y + -3y = 3 + 3y + -3y Combine like terms: 9y + -3y = 6y -8 + 6y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + 6y = 3 + 0 -8 + 6y = 3 Add '8' to each side of the equation. -8 + 8 + 6y = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 6y = 3 + 8 6y = 3 + 8 Combine like terms: 3 + 8 = 11 6y = 11 Divide each side by '6'. y = 1.833333333 Simplifying y = 1.833333333
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