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Simplifying 5(1y + -4) = 7(2y + 1) Reorder the terms: 5(-4 + 1y) = 7(2y + 1) (-4 * 5 + 1y * 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 = 27 -9y = 27 Divide each side by '-9'. y = -3 Simplifying y = -3
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