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Simplifying 7(7y + 1) + -4y = 13(3y + -2) Reorder the terms: 7(1 + 7y) + -4y = 13(3y + -2) (1 * 7 + 7y * 7) + -4y = 13(3y + -2) (7 + 49y) + -4y = 13(3y + -2) Combine like terms: 49y + -4y = 45y 7 + 45y = 13(3y + -2) Reorder the terms: 7 + 45y = 13(-2 + 3y) 7 + 45y = (-2 * 13 + 3y * 13) 7 + 45y = (-26 + 39y) Solving 7 + 45y = -26 + 39y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-39y' to each side of the equation. 7 + 45y + -39y = -26 + 39y + -39y Combine like terms: 45y + -39y = 6y 7 + 6y = -26 + 39y + -39y Combine like terms: 39y + -39y = 0 7 + 6y = -26 + 0 7 + 6y = -26 Add '-7' to each side of the equation. 7 + -7 + 6y = -26 + -7 Combine like terms: 7 + -7 = 0 0 + 6y = -26 + -7 6y = -26 + -7 Combine like terms: -26 + -7 = -33 6y = -33 Divide each side by '6'. y = -5.5 Simplifying y = -5.5
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