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Simplifying 20(y + -2) = 5(3y + 4) Reorder the terms: 20(-2 + y) = 5(3y + 4) (-2 * 20 + y * 20) = 5(3y + 4) (-40 + 20y) = 5(3y + 4) Reorder the terms: -40 + 20y = 5(4 + 3y) -40 + 20y = (4 * 5 + 3y * 5) -40 + 20y = (20 + 15y) Solving -40 + 20y = 20 + 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. -40 + 20y + -15y = 20 + 15y + -15y Combine like terms: 20y + -15y = 5y -40 + 5y = 20 + 15y + -15y Combine like terms: 15y + -15y = 0 -40 + 5y = 20 + 0 -40 + 5y = 20 Add '40' to each side of the equation. -40 + 40 + 5y = 20 + 40 Combine like terms: -40 + 40 = 0 0 + 5y = 20 + 40 5y = 20 + 40 Combine like terms: 20 + 40 = 60 5y = 60 Divide each side by '5'. y = 12 Simplifying y = 12
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