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Simplifying 3(-3y + 12) + 2y = 1 Reorder the terms: 3(12 + -3y) + 2y = 1 (12 * 3 + -3y * 3) + 2y = 1 (36 + -9y) + 2y = 1 Combine like terms: -9y + 2y = -7y 36 + -7y = 1 Solving 36 + -7y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -7y = 1 + -36 Combine like terms: 36 + -36 = 0 0 + -7y = 1 + -36 -7y = 1 + -36 Combine like terms: 1 + -36 = -35 -7y = -35 Divide each side by '-7'. y = 5 Simplifying y = 5
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