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Simplifying 6y + 3(y + -8) = 5(y + 1) + -4 Reorder the terms: 6y + 3(-8 + y) = 5(y + 1) + -4 6y + (-8 * 3 + y * 3) = 5(y + 1) + -4 6y + (-24 + 3y) = 5(y + 1) + -4 Reorder the terms: -24 + 6y + 3y = 5(y + 1) + -4 Combine like terms: 6y + 3y = 9y -24 + 9y = 5(y + 1) + -4 Reorder the terms: -24 + 9y = 5(1 + y) + -4 -24 + 9y = (1 * 5 + y * 5) + -4 -24 + 9y = (5 + 5y) + -4 Reorder the terms: -24 + 9y = 5 + -4 + 5y Combine like terms: 5 + -4 = 1 -24 + 9y = 1 + 5y Solving -24 + 9y = 1 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -24 + 9y + -5y = 1 + 5y + -5y Combine like terms: 9y + -5y = 4y -24 + 4y = 1 + 5y + -5y Combine like terms: 5y + -5y = 0 -24 + 4y = 1 + 0 -24 + 4y = 1 Add '24' to each side of the equation. -24 + 24 + 4y = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 4y = 1 + 24 4y = 1 + 24 Combine like terms: 1 + 24 = 25 4y = 25 Divide each side by '4'. y = 6.25 Simplifying y = 6.25
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