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Simplifying 5(y + -4) = 7(7y + 1) Reorder the terms: 5(-4 + y) = 7(7y + 1) (-4 * 5 + y * 5) = 7(7y + 1) (-20 + 5y) = 7(7y + 1) Reorder the terms: -20 + 5y = 7(1 + 7y) -20 + 5y = (1 * 7 + 7y * 7) -20 + 5y = (7 + 49y) Solving -20 + 5y = 7 + 49y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-49y' to each side of the equation. -20 + 5y + -49y = 7 + 49y + -49y Combine like terms: 5y + -49y = -44y -20 + -44y = 7 + 49y + -49y Combine like terms: 49y + -49y = 0 -20 + -44y = 7 + 0 -20 + -44y = 7 Add '20' to each side of the equation. -20 + 20 + -44y = 7 + 20 Combine like terms: -20 + 20 = 0 0 + -44y = 7 + 20 -44y = 7 + 20 Combine like terms: 7 + 20 = 27 -44y = 27 Divide each side by '-44'. y = -0.6136363636 Simplifying y = -0.6136363636
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