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Simplifying 7(y + 1) = -3(4y + -1) + 5y Reorder the terms: 7(1 + y) = -3(4y + -1) + 5y (1 * 7 + y * 7) = -3(4y + -1) + 5y (7 + 7y) = -3(4y + -1) + 5y Reorder the terms: 7 + 7y = -3(-1 + 4y) + 5y 7 + 7y = (-1 * -3 + 4y * -3) + 5y 7 + 7y = (3 + -12y) + 5y Combine like terms: -12y + 5y = -7y 7 + 7y = 3 + -7y Solving 7 + 7y = 3 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 7 + 7y + 7y = 3 + -7y + 7y Combine like terms: 7y + 7y = 14y 7 + 14y = 3 + -7y + 7y Combine like terms: -7y + 7y = 0 7 + 14y = 3 + 0 7 + 14y = 3 Add '-7' to each side of the equation. 7 + -7 + 14y = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 14y = 3 + -7 14y = 3 + -7 Combine like terms: 3 + -7 = -4 14y = -4 Divide each side by '14'. y = -0.2857142857 Simplifying y = -0.2857142857
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