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Simplifying 7y + 2 = 2(46 + -1y) Reorder the terms: 2 + 7y = 2(46 + -1y) 2 + 7y = (46 * 2 + -1y * 2) 2 + 7y = (92 + -2y) Solving 2 + 7y = 92 + -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. 2 + 7y + 2y = 92 + -2y + 2y Combine like terms: 7y + 2y = 9y 2 + 9y = 92 + -2y + 2y Combine like terms: -2y + 2y = 0 2 + 9y = 92 + 0 2 + 9y = 92 Add '-2' to each side of the equation. 2 + -2 + 9y = 92 + -2 Combine like terms: 2 + -2 = 0 0 + 9y = 92 + -2 9y = 92 + -2 Combine like terms: 92 + -2 = 90 9y = 90 Divide each side by '9'. y = 10 Simplifying y = 10
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