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Simplifying 5(2y + 4) = 4(4y + -2) Reorder the terms: 5(4 + 2y) = 4(4y + -2) (4 * 5 + 2y * 5) = 4(4y + -2) (20 + 10y) = 4(4y + -2) Reorder the terms: 20 + 10y = 4(-2 + 4y) 20 + 10y = (-2 * 4 + 4y * 4) 20 + 10y = (-8 + 16y) Solving 20 + 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. 20 + 10y + -16y = -8 + 16y + -16y Combine like terms: 10y + -16y = -6y 20 + -6y = -8 + 16y + -16y Combine like terms: 16y + -16y = 0 20 + -6y = -8 + 0 20 + -6y = -8 Add '-20' to each side of the equation. 20 + -20 + -6y = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -6y = -8 + -20 -6y = -8 + -20 Combine like terms: -8 + -20 = -28 -6y = -28 Divide each side by '-6'. y = 4.666666667 Simplifying y = 4.666666667
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