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Simplifying 5(y + 4) = 7(2y + 1) Reorder the terms: 5(4 + y) = 7(2y + 1) (4 * 5 + y * 5) = 7(2y + 1) (20 + 5y) = 7(2y + 1) Reorder the terms: 20 + 5y = 7(1 + 2y) 20 + 5y = (1 * 7 + 2y * 7) 20 + 5y = (7 + 14y) Solving 20 + 5y = 7 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 20 + 5y + -14y = 7 + 14y + -14y Combine like terms: 5y + -14y = -9y 20 + -9y = 7 + 14y + -14y Combine like terms: 14y + -14y = 0 20 + -9y = 7 + 0 20 + -9y = 7 Add '-20' to each side of the equation. 20 + -20 + -9y = 7 + -20 Combine like terms: 20 + -20 = 0 0 + -9y = 7 + -20 -9y = 7 + -20 Combine like terms: 7 + -20 = -13 -9y = -13 Divide each side by '-9'. y = 1.444444444 Simplifying y = 1.444444444
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