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Simplifying 5(y + 6) = 2y + 33 Reorder the terms: 5(6 + y) = 2y + 33 (6 * 5 + y * 5) = 2y + 33 (30 + 5y) = 2y + 33 Reorder the terms: 30 + 5y = 33 + 2y Solving 30 + 5y = 33 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 30 + 5y + -2y = 33 + 2y + -2y Combine like terms: 5y + -2y = 3y 30 + 3y = 33 + 2y + -2y Combine like terms: 2y + -2y = 0 30 + 3y = 33 + 0 30 + 3y = 33 Add '-30' to each side of the equation. 30 + -30 + 3y = 33 + -30 Combine like terms: 30 + -30 = 0 0 + 3y = 33 + -30 3y = 33 + -30 Combine like terms: 33 + -30 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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