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Simplifying 5(2 + -1y) = 2(y + 1) (2 * 5 + -1y * 5) = 2(y + 1) (10 + -5y) = 2(y + 1) Reorder the terms: 10 + -5y = 2(1 + y) 10 + -5y = (1 * 2 + y * 2) 10 + -5y = (2 + 2y) Solving 10 + -5y = 2 + 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. 10 + -5y + -2y = 2 + 2y + -2y Combine like terms: -5y + -2y = -7y 10 + -7y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 10 + -7y = 2 + 0 10 + -7y = 2 Add '-10' to each side of the equation. 10 + -10 + -7y = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -7y = 2 + -10 -7y = 2 + -10 Combine like terms: 2 + -10 = -8 -7y = -8 Divide each side by '-7'. y = 1.142857143 Simplifying y = 1.142857143
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