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Simplifying 7y + 3(y + -8) = 3(y + 2) + -5 Reorder the terms: 7y + 3(-8 + y) = 3(y + 2) + -5 7y + (-8 * 3 + y * 3) = 3(y + 2) + -5 7y + (-24 + 3y) = 3(y + 2) + -5 Reorder the terms: -24 + 7y + 3y = 3(y + 2) + -5 Combine like terms: 7y + 3y = 10y -24 + 10y = 3(y + 2) + -5 Reorder the terms: -24 + 10y = 3(2 + y) + -5 -24 + 10y = (2 * 3 + y * 3) + -5 -24 + 10y = (6 + 3y) + -5 Reorder the terms: -24 + 10y = 6 + -5 + 3y Combine like terms: 6 + -5 = 1 -24 + 10y = 1 + 3y Solving -24 + 10y = 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. -24 + 10y + -3y = 1 + 3y + -3y Combine like terms: 10y + -3y = 7y -24 + 7y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -24 + 7y = 1 + 0 -24 + 7y = 1 Add '24' to each side of the equation. -24 + 24 + 7y = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 7y = 1 + 24 7y = 1 + 24 Combine like terms: 1 + 24 = 25 7y = 25 Divide each side by '7'. y = 3.571428571 Simplifying y = 3.571428571
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