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