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Simplifying 2(5y + 3) = 4(2 + 4y) Reorder the terms: 2(3 + 5y) = 4(2 + 4y) (3 * 2 + 5y * 2) = 4(2 + 4y) (6 + 10y) = 4(2 + 4y) 6 + 10y = (2 * 4 + 4y * 4) 6 + 10y = (8 + 16y) Solving 6 + 10y = 8 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 6 + 10y + -16y = 8 + 16y + -16y Combine like terms: 10y + -16y = -6y 6 + -6y = 8 + 16y + -16y Combine like terms: 16y + -16y = 0 6 + -6y = 8 + 0 6 + -6y = 8 Add '-6' to each side of the equation. 6 + -6 + -6y = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -6y = 8 + -6 -6y = 8 + -6 Combine like terms: 8 + -6 = 2 -6y = 2 Divide each side by '-6'. y = -0.3333333333 Simplifying y = -0.3333333333
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