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Simplifying 4(3y + 5) = 2(y + 6) Reorder the terms: 4(5 + 3y) = 2(y + 6) (5 * 4 + 3y * 4) = 2(y + 6) (20 + 12y) = 2(y + 6) Reorder the terms: 20 + 12y = 2(6 + y) 20 + 12y = (6 * 2 + y * 2) 20 + 12y = (12 + 2y) Solving 20 + 12y = 12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 20 + 12y + -2y = 12 + 2y + -2y Combine like terms: 12y + -2y = 10y 20 + 10y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 20 + 10y = 12 + 0 20 + 10y = 12 Add '-20' to each side of the equation. 20 + -20 + 10y = 12 + -20 Combine like terms: 20 + -20 = 0 0 + 10y = 12 + -20 10y = 12 + -20 Combine like terms: 12 + -20 = -8 10y = -8 Divide each side by '10'. y = -0.8 Simplifying y = -0.8
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