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Simplifying 5(3y + -8) = 12y Reorder the terms: 5(-8 + 3y) = 12y (-8 * 5 + 3y * 5) = 12y (-40 + 15y) = 12y Solving -40 + 15y = 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -40 + 15y + -12y = 12y + -12y Combine like terms: 15y + -12y = 3y -40 + 3y = 12y + -12y Combine like terms: 12y + -12y = 0 -40 + 3y = 0 Add '40' to each side of the equation. -40 + 40 + 3y = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 3y = 0 + 40 3y = 0 + 40 Combine like terms: 0 + 40 = 40 3y = 40 Divide each side by '3'. y = 13.33333333 Simplifying y = 13.33333333
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