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Simplifying 5(2y + 4) = 3(5y + -2) Reorder the terms: 5(4 + 2y) = 3(5y + -2) (4 * 5 + 2y * 5) = 3(5y + -2) (20 + 10y) = 3(5y + -2) Reorder the terms: 20 + 10y = 3(-2 + 5y) 20 + 10y = (-2 * 3 + 5y * 3) 20 + 10y = (-6 + 15y) Solving 20 + 10y = -6 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 20 + 10y + -15y = -6 + 15y + -15y Combine like terms: 10y + -15y = -5y 20 + -5y = -6 + 15y + -15y Combine like terms: 15y + -15y = 0 20 + -5y = -6 + 0 20 + -5y = -6 Add '-20' to each side of the equation. 20 + -20 + -5y = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -5y = -6 + -20 -5y = -6 + -20 Combine like terms: -6 + -20 = -26 -5y = -26 Divide each side by '-5'. y = 5.2 Simplifying y = 5.2
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