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Simplifying -6y + 3(4y + -5) = 20 + 3y Reorder the terms: -6y + 3(-5 + 4y) = 20 + 3y -6y + (-5 * 3 + 4y * 3) = 20 + 3y -6y + (-15 + 12y) = 20 + 3y Reorder the terms: -15 + -6y + 12y = 20 + 3y Combine like terms: -6y + 12y = 6y -15 + 6y = 20 + 3y Solving -15 + 6y = 20 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -15 + 6y + -3y = 20 + 3y + -3y Combine like terms: 6y + -3y = 3y -15 + 3y = 20 + 3y + -3y Combine like terms: 3y + -3y = 0 -15 + 3y = 20 + 0 -15 + 3y = 20 Add '15' to each side of the equation. -15 + 15 + 3y = 20 + 15 Combine like terms: -15 + 15 = 0 0 + 3y = 20 + 15 3y = 20 + 15 Combine like terms: 20 + 15 = 35 3y = 35 Divide each side by '3'. y = 11.66666667 Simplifying y = 11.66666667
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