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Simplifying 2(3 + -1y) + 7 = (y + 2) * 5 (3 * 2 + -1y * 2) + 7 = (y + 2) * 5 (6 + -2y) + 7 = (y + 2) * 5 Reorder the terms: 6 + 7 + -2y = (y + 2) * 5 Combine like terms: 6 + 7 = 13 13 + -2y = (y + 2) * 5 Reorder the terms: 13 + -2y = (2 + y) * 5 Reorder the terms for easier multiplication: 13 + -2y = 5(2 + y) 13 + -2y = (2 * 5 + y * 5) 13 + -2y = (10 + 5y) Solving 13 + -2y = 10 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 13 + -2y + -5y = 10 + 5y + -5y Combine like terms: -2y + -5y = -7y 13 + -7y = 10 + 5y + -5y Combine like terms: 5y + -5y = 0 13 + -7y = 10 + 0 13 + -7y = 10 Add '-13' to each side of the equation. 13 + -13 + -7y = 10 + -13 Combine like terms: 13 + -13 = 0 0 + -7y = 10 + -13 -7y = 10 + -13 Combine like terms: 10 + -13 = -3 -7y = -3 Divide each side by '-7'. y = 0.4285714286 Simplifying y = 0.4285714286
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