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Simplifying 4(3y + -1) + -6 = 5y + 2 Reorder the terms: 4(-1 + 3y) + -6 = 5y + 2 (-1 * 4 + 3y * 4) + -6 = 5y + 2 (-4 + 12y) + -6 = 5y + 2 Reorder the terms: -4 + -6 + 12y = 5y + 2 Combine like terms: -4 + -6 = -10 -10 + 12y = 5y + 2 Reorder the terms: -10 + 12y = 2 + 5y Solving -10 + 12y = 2 + 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 = 2 + 5y + -5y Combine like terms: 12y + -5y = 7y -10 + 7y = 2 + 5y + -5y Combine like terms: 5y + -5y = 0 -10 + 7y = 2 + 0 -10 + 7y = 2 Add '10' to each side of the equation. -10 + 10 + 7y = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 7y = 2 + 10 7y = 2 + 10 Combine like terms: 2 + 10 = 12 7y = 12 Divide each side by '7'. y = 1.714285714 Simplifying y = 1.714285714
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