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Simplifying 4(5y + -1) = 3(6y + 7) Reorder the terms: 4(-1 + 5y) = 3(6y + 7) (-1 * 4 + 5y * 4) = 3(6y + 7) (-4 + 20y) = 3(6y + 7) Reorder the terms: -4 + 20y = 3(7 + 6y) -4 + 20y = (7 * 3 + 6y * 3) -4 + 20y = (21 + 18y) Solving -4 + 20y = 21 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -4 + 20y + -18y = 21 + 18y + -18y Combine like terms: 20y + -18y = 2y -4 + 2y = 21 + 18y + -18y Combine like terms: 18y + -18y = 0 -4 + 2y = 21 + 0 -4 + 2y = 21 Add '4' to each side of the equation. -4 + 4 + 2y = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 2y = 21 + 4 2y = 21 + 4 Combine like terms: 21 + 4 = 25 2y = 25 Divide each side by '2'. y = 12.5 Simplifying y = 12.5
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