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Simplifying 7(2y + 1) = 5(y + -4) Reorder the terms: 7(1 + 2y) = 5(y + -4) (1 * 7 + 2y * 7) = 5(y + -4) (7 + 14y) = 5(y + -4) Reorder the terms: 7 + 14y = 5(-4 + y) 7 + 14y = (-4 * 5 + y * 5) 7 + 14y = (-20 + 5y) Solving 7 + 14y = -20 + 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. 7 + 14y + -5y = -20 + 5y + -5y Combine like terms: 14y + -5y = 9y 7 + 9y = -20 + 5y + -5y Combine like terms: 5y + -5y = 0 7 + 9y = -20 + 0 7 + 9y = -20 Add '-7' to each side of the equation. 7 + -7 + 9y = -20 + -7 Combine like terms: 7 + -7 = 0 0 + 9y = -20 + -7 9y = -20 + -7 Combine like terms: -20 + -7 = -27 9y = -27 Divide each side by '9'. y = -3 Simplifying y = -3
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