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Simplifying 5y + 33 = -6y + 4 + 12y Reorder the terms: 33 + 5y = -6y + 4 + 12y Reorder the terms: 33 + 5y = 4 + -6y + 12y Combine like terms: -6y + 12y = 6y 33 + 5y = 4 + 6y Solving 33 + 5y = 4 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 33 + 5y + -6y = 4 + 6y + -6y Combine like terms: 5y + -6y = -1y 33 + -1y = 4 + 6y + -6y Combine like terms: 6y + -6y = 0 33 + -1y = 4 + 0 33 + -1y = 4 Add '-33' to each side of the equation. 33 + -33 + -1y = 4 + -33 Combine like terms: 33 + -33 = 0 0 + -1y = 4 + -33 -1y = 4 + -33 Combine like terms: 4 + -33 = -29 -1y = -29 Divide each side by '-1'. y = 29 Simplifying y = 29
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