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Simplifying y + -2(6) + 47 = 2y + 6 + 9 Multiply -2 * 6 y + -12 + 47 = 2y + 6 + 9 Reorder the terms: -12 + 47 + y = 2y + 6 + 9 Combine like terms: -12 + 47 = 35 35 + y = 2y + 6 + 9 Reorder the terms: 35 + y = 6 + 9 + 2y Combine like terms: 6 + 9 = 15 35 + y = 15 + 2y Solving 35 + y = 15 + 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. 35 + y + -2y = 15 + 2y + -2y Combine like terms: y + -2y = -1y 35 + -1y = 15 + 2y + -2y Combine like terms: 2y + -2y = 0 35 + -1y = 15 + 0 35 + -1y = 15 Add '-35' to each side of the equation. 35 + -35 + -1y = 15 + -35 Combine like terms: 35 + -35 = 0 0 + -1y = 15 + -35 -1y = 15 + -35 Combine like terms: 15 + -35 = -20 -1y = -20 Divide each side by '-1'. y = 20 Simplifying y = 20
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