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Simplifying 10y + (7 + -1y) * 1 = 10(7 + -1y) + y * 1 + -9 Reorder the terms for easier multiplication: 10y + 1(7 + -1y) = 10(7 + -1y) + y * 1 + -9 10y + (7 * 1 + -1y * 1) = 10(7 + -1y) + y * 1 + -9 10y + (7 + -1y) = 10(7 + -1y) + y * 1 + -9 Reorder the terms: 7 + 10y + -1y = 10(7 + -1y) + y * 1 + -9 Combine like terms: 10y + -1y = 9y 7 + 9y = 10(7 + -1y) + y * 1 + -9 7 + 9y = (7 * 10 + -1y * 10) + y * 1 + -9 7 + 9y = (70 + -10y) + y * 1 + -9 Reorder the terms for easier multiplication: 7 + 9y = 70 + -10y + 1y + -9 Reorder the terms: 7 + 9y = 70 + -9 + -10y + 1y Combine like terms: 70 + -9 = 61 7 + 9y = 61 + -10y + 1y Combine like terms: -10y + 1y = -9y 7 + 9y = 61 + -9y Solving 7 + 9y = 61 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 7 + 9y + 9y = 61 + -9y + 9y Combine like terms: 9y + 9y = 18y 7 + 18y = 61 + -9y + 9y Combine like terms: -9y + 9y = 0 7 + 18y = 61 + 0 7 + 18y = 61 Add '-7' to each side of the equation. 7 + -7 + 18y = 61 + -7 Combine like terms: 7 + -7 = 0 0 + 18y = 61 + -7 18y = 61 + -7 Combine like terms: 61 + -7 = 54 18y = 54 Divide each side by '18'. y = 3 Simplifying y = 3
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