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Simplifying 5y + 4(y + -8) = 3(y + 2) + -3 Reorder the terms: 5y + 4(-8 + y) = 3(y + 2) + -3 5y + (-8 * 4 + y * 4) = 3(y + 2) + -3 5y + (-32 + 4y) = 3(y + 2) + -3 Reorder the terms: -32 + 5y + 4y = 3(y + 2) + -3 Combine like terms: 5y + 4y = 9y -32 + 9y = 3(y + 2) + -3 Reorder the terms: -32 + 9y = 3(2 + y) + -3 -32 + 9y = (2 * 3 + y * 3) + -3 -32 + 9y = (6 + 3y) + -3 Reorder the terms: -32 + 9y = 6 + -3 + 3y Combine like terms: 6 + -3 = 3 -32 + 9y = 3 + 3y Solving -32 + 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. -32 + 9y + -3y = 3 + 3y + -3y Combine like terms: 9y + -3y = 6y -32 + 6y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 -32 + 6y = 3 + 0 -32 + 6y = 3 Add '32' to each side of the equation. -32 + 32 + 6y = 3 + 32 Combine like terms: -32 + 32 = 0 0 + 6y = 3 + 32 6y = 3 + 32 Combine like terms: 3 + 32 = 35 6y = 35 Divide each side by '6'. y = 5.833333333 Simplifying y = 5.833333333
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