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Simplifying 5(y + -8) = 20(y + -3) Reorder the terms: 5(-8 + y) = 20(y + -3) (-8 * 5 + y * 5) = 20(y + -3) (-40 + 5y) = 20(y + -3) Reorder the terms: -40 + 5y = 20(-3 + y) -40 + 5y = (-3 * 20 + y * 20) -40 + 5y = (-60 + 20y) Solving -40 + 5y = -60 + 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. -40 + 5y + -20y = -60 + 20y + -20y Combine like terms: 5y + -20y = -15y -40 + -15y = -60 + 20y + -20y Combine like terms: 20y + -20y = 0 -40 + -15y = -60 + 0 -40 + -15y = -60 Add '40' to each side of the equation. -40 + 40 + -15y = -60 + 40 Combine like terms: -40 + 40 = 0 0 + -15y = -60 + 40 -15y = -60 + 40 Combine like terms: -60 + 40 = -20 -15y = -20 Divide each side by '-15'. y = 1.333333333 Simplifying y = 1.333333333
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