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Simplifying 9(2y + 1) = 4(5y + -4) Reorder the terms: 9(1 + 2y) = 4(5y + -4) (1 * 9 + 2y * 9) = 4(5y + -4) (9 + 18y) = 4(5y + -4) Reorder the terms: 9 + 18y = 4(-4 + 5y) 9 + 18y = (-4 * 4 + 5y * 4) 9 + 18y = (-16 + 20y) Solving 9 + 18y = -16 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. 9 + 18y + -20y = -16 + 20y + -20y Combine like terms: 18y + -20y = -2y 9 + -2y = -16 + 20y + -20y Combine like terms: 20y + -20y = 0 9 + -2y = -16 + 0 9 + -2y = -16 Add '-9' to each side of the equation. 9 + -9 + -2y = -16 + -9 Combine like terms: 9 + -9 = 0 0 + -2y = -16 + -9 -2y = -16 + -9 Combine like terms: -16 + -9 = -25 -2y = -25 Divide each side by '-2'. y = 12.5 Simplifying y = 12.5
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