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Simplifying 3(2y + 4) = 5(4y + y) Reorder the terms: 3(4 + 2y) = 5(4y + y) (4 * 3 + 2y * 3) = 5(4y + y) (12 + 6y) = 5(4y + y) Combine like terms: 4y + y = 5y 12 + 6y = 5(5y) Remove parenthesis around (5y) 12 + 6y = 5 * 5y Multiply 5 * 5 12 + 6y = 25y Solving 12 + 6y = 25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25y' to each side of the equation. 12 + 6y + -25y = 25y + -25y Combine like terms: 6y + -25y = -19y 12 + -19y = 25y + -25y Combine like terms: 25y + -25y = 0 12 + -19y = 0 Add '-12' to each side of the equation. 12 + -12 + -19y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -19y = 0 + -12 -19y = 0 + -12 Combine like terms: 0 + -12 = -12 -19y = -12 Divide each side by '-19'. y = 0.6315789474 Simplifying y = 0.6315789474
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