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Simplifying 4y + -13 + -5y = 8y + 9 + -12y Reorder the terms: -13 + 4y + -5y = 8y + 9 + -12y Combine like terms: 4y + -5y = -1y -13 + -1y = 8y + 9 + -12y Reorder the terms: -13 + -1y = 9 + 8y + -12y Combine like terms: 8y + -12y = -4y -13 + -1y = 9 + -4y Solving -13 + -1y = 9 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -13 + -1y + 4y = 9 + -4y + 4y Combine like terms: -1y + 4y = 3y -13 + 3y = 9 + -4y + 4y Combine like terms: -4y + 4y = 0 -13 + 3y = 9 + 0 -13 + 3y = 9 Add '13' to each side of the equation. -13 + 13 + 3y = 9 + 13 Combine like terms: -13 + 13 = 0 0 + 3y = 9 + 13 3y = 9 + 13 Combine like terms: 9 + 13 = 22 3y = 22 Divide each side by '3'. y = 7.333333333 Simplifying y = 7.333333333
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