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Simplifying 5y + -2 = 33 + -3y Reorder the terms: -2 + 5y = 33 + -3y Solving -2 + 5y = 33 + -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. -2 + 5y + 3y = 33 + -3y + 3y Combine like terms: 5y + 3y = 8y -2 + 8y = 33 + -3y + 3y Combine like terms: -3y + 3y = 0 -2 + 8y = 33 + 0 -2 + 8y = 33 Add '2' to each side of the equation. -2 + 2 + 8y = 33 + 2 Combine like terms: -2 + 2 = 0 0 + 8y = 33 + 2 8y = 33 + 2 Combine like terms: 33 + 2 = 35 8y = 35 Divide each side by '8'. y = 4.375 Simplifying y = 4.375
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