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Simplifying 72 + 5(y + 6) = 35 + -1(2x + -72) Reorder the terms: 72 + 5(6 + y) = 35 + -1(2x + -72) 72 + (6 * 5 + y * 5) = 35 + -1(2x + -72) 72 + (30 + 5y) = 35 + -1(2x + -72) Combine like terms: 72 + 30 = 102 102 + 5y = 35 + -1(2x + -72) Reorder the terms: 102 + 5y = 35 + -1(-72 + 2x) 102 + 5y = 35 + (-72 * -1 + 2x * -1) 102 + 5y = 35 + (72 + -2x) Combine like terms: 35 + 72 = 107 102 + 5y = 107 + -2x Solving 102 + 5y = 107 + -2x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + 5y = 107 + -102 + -2x Combine like terms: 102 + -102 = 0 0 + 5y = 107 + -102 + -2x 5y = 107 + -102 + -2x Combine like terms: 107 + -102 = 5 5y = 5 + -2x Divide each side by '5'. y = 1 + -0.4x Simplifying y = 1 + -0.4x
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