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Simplifying 3(y + 4 + 5y) = y(2 + 4) Reorder the terms: 3(4 + y + 5y) = y(2 + 4) Combine like terms: y + 5y = 6y 3(4 + 6y) = y(2 + 4) (4 * 3 + 6y * 3) = y(2 + 4) (12 + 18y) = y(2 + 4) Combine like terms: 2 + 4 = 6 12 + 18y = y(6) Reorder the terms for easier multiplication: 12 + 18y = 6y Solving 12 + 18y = 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 12 + 18y + -6y = 6y + -6y Combine like terms: 18y + -6y = 12y 12 + 12y = 6y + -6y Combine like terms: 6y + -6y = 0 12 + 12y = 0 Add '-12' to each side of the equation. 12 + -12 + 12y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 12y = 0 + -12 12y = 0 + -12 Combine like terms: 0 + -12 = -12 12y = -12 Divide each side by '12'. y = -1 Simplifying y = -1
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