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Simplifying 4(3y + -5) = 8y Reorder the terms: 4(-5 + 3y) = 8y (-5 * 4 + 3y * 4) = 8y (-20 + 12y) = 8y Solving -20 + 12y = 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -20 + 12y + -8y = 8y + -8y Combine like terms: 12y + -8y = 4y -20 + 4y = 8y + -8y Combine like terms: 8y + -8y = 0 -20 + 4y = 0 Add '20' to each side of the equation. -20 + 20 + 4y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 4y = 0 + 20 4y = 0 + 20 Combine like terms: 0 + 20 = 20 4y = 20 Divide each side by '4'. y = 5 Simplifying y = 5
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