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Simplifying 3y + 1 + -36 = 12(1) + y + -9 Reorder the terms: 1 + -36 + 3y = 12(1) + y + -9 Combine like terms: 1 + -36 = -35 -35 + 3y = 12(1) + y + -9 Multiply 12 * 1 -35 + 3y = 12 + y + -9 Reorder the terms: -35 + 3y = 12 + -9 + y Combine like terms: 12 + -9 = 3 -35 + 3y = 3 + y Solving -35 + 3y = 3 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -35 + 3y + -1y = 3 + y + -1y Combine like terms: 3y + -1y = 2y -35 + 2y = 3 + y + -1y Combine like terms: y + -1y = 0 -35 + 2y = 3 + 0 -35 + 2y = 3 Add '35' to each side of the equation. -35 + 35 + 2y = 3 + 35 Combine like terms: -35 + 35 = 0 0 + 2y = 3 + 35 2y = 3 + 35 Combine like terms: 3 + 35 = 38 2y = 38 Divide each side by '2'. y = 19 Simplifying y = 19
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