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Simplifying 4(3y + -14) + 13 = 5y + 12 Reorder the terms: 4(-14 + 3y) + 13 = 5y + 12 (-14 * 4 + 3y * 4) + 13 = 5y + 12 (-56 + 12y) + 13 = 5y + 12 Reorder the terms: -56 + 13 + 12y = 5y + 12 Combine like terms: -56 + 13 = -43 -43 + 12y = 5y + 12 Reorder the terms: -43 + 12y = 12 + 5y Solving -43 + 12y = 12 + 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. -43 + 12y + -5y = 12 + 5y + -5y Combine like terms: 12y + -5y = 7y -43 + 7y = 12 + 5y + -5y Combine like terms: 5y + -5y = 0 -43 + 7y = 12 + 0 -43 + 7y = 12 Add '43' to each side of the equation. -43 + 43 + 7y = 12 + 43 Combine like terms: -43 + 43 = 0 0 + 7y = 12 + 43 7y = 12 + 43 Combine like terms: 12 + 43 = 55 7y = 55 Divide each side by '7'. y = 7.857142857 Simplifying y = 7.857142857
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