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Simplifying 51 + -9y = 2(3 + -1y) + 17 51 + -9y = (3 * 2 + -1y * 2) + 17 51 + -9y = (6 + -2y) + 17 Reorder the terms: 51 + -9y = 6 + 17 + -2y Combine like terms: 6 + 17 = 23 51 + -9y = 23 + -2y Solving 51 + -9y = 23 + -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. 51 + -9y + 2y = 23 + -2y + 2y Combine like terms: -9y + 2y = -7y 51 + -7y = 23 + -2y + 2y Combine like terms: -2y + 2y = 0 51 + -7y = 23 + 0 51 + -7y = 23 Add '-51' to each side of the equation. 51 + -51 + -7y = 23 + -51 Combine like terms: 51 + -51 = 0 0 + -7y = 23 + -51 -7y = 23 + -51 Combine like terms: 23 + -51 = -28 -7y = -28 Divide each side by '-7'. y = 4 Simplifying y = 4
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