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Simplifying 4(3y + -1) + -6 = 5(y + 2) Reorder the terms: 4(-1 + 3y) + -6 = 5(y + 2) (-1 * 4 + 3y * 4) + -6 = 5(y + 2) (-4 + 12y) + -6 = 5(y + 2) Reorder the terms: -4 + -6 + 12y = 5(y + 2) Combine like terms: -4 + -6 = -10 -10 + 12y = 5(y + 2) Reorder the terms: -10 + 12y = 5(2 + y) -10 + 12y = (2 * 5 + y * 5) -10 + 12y = (10 + 5y) Solving -10 + 12y = 10 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -10 + 12y + -5y = 10 + 5y + -5y Combine like terms: 12y + -5y = 7y -10 + 7y = 10 + 5y + -5y Combine like terms: 5y + -5y = 0 -10 + 7y = 10 + 0 -10 + 7y = 10 Add '10' to each side of the equation. -10 + 10 + 7y = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 7y = 10 + 10 7y = 10 + 10 Combine like terms: 10 + 10 = 20 7y = 20 Divide each side by '7'. y = 2.857142857 Simplifying y = 2.857142857
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