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Simplifying 5(4y + -3) = 11(7 + -3y) Reorder the terms: 5(-3 + 4y) = 11(7 + -3y) (-3 * 5 + 4y * 5) = 11(7 + -3y) (-15 + 20y) = 11(7 + -3y) -15 + 20y = (7 * 11 + -3y * 11) -15 + 20y = (77 + -33y) Solving -15 + 20y = 77 + -33y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '33y' to each side of the equation. -15 + 20y + 33y = 77 + -33y + 33y Combine like terms: 20y + 33y = 53y -15 + 53y = 77 + -33y + 33y Combine like terms: -33y + 33y = 0 -15 + 53y = 77 + 0 -15 + 53y = 77 Add '15' to each side of the equation. -15 + 15 + 53y = 77 + 15 Combine like terms: -15 + 15 = 0 0 + 53y = 77 + 15 53y = 77 + 15 Combine like terms: 77 + 15 = 92 53y = 92 Divide each side by '53'. y = 1.735849057 Simplifying y = 1.735849057
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