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Simplifying 5y + -8 + -13 = 12y + 6 Reorder the terms: -8 + -13 + 5y = 12y + 6 Combine like terms: -8 + -13 = -21 -21 + 5y = 12y + 6 Reorder the terms: -21 + 5y = 6 + 12y Solving -21 + 5y = 6 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -21 + 5y + -12y = 6 + 12y + -12y Combine like terms: 5y + -12y = -7y -21 + -7y = 6 + 12y + -12y Combine like terms: 12y + -12y = 0 -21 + -7y = 6 + 0 -21 + -7y = 6 Add '21' to each side of the equation. -21 + 21 + -7y = 6 + 21 Combine like terms: -21 + 21 = 0 0 + -7y = 6 + 21 -7y = 6 + 21 Combine like terms: 6 + 21 = 27 -7y = 27 Divide each side by '-7'. y = -3.857142857 Simplifying y = -3.857142857
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