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Simplifying -38 + -12y + 13 = -27y + 3 + 8y Reorder the terms: -38 + 13 + -12y = -27y + 3 + 8y Combine like terms: -38 + 13 = -25 -25 + -12y = -27y + 3 + 8y Reorder the terms: -25 + -12y = 3 + -27y + 8y Combine like terms: -27y + 8y = -19y -25 + -12y = 3 + -19y Solving -25 + -12y = 3 + -19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19y' to each side of the equation. -25 + -12y + 19y = 3 + -19y + 19y Combine like terms: -12y + 19y = 7y -25 + 7y = 3 + -19y + 19y Combine like terms: -19y + 19y = 0 -25 + 7y = 3 + 0 -25 + 7y = 3 Add '25' to each side of the equation. -25 + 25 + 7y = 3 + 25 Combine like terms: -25 + 25 = 0 0 + 7y = 3 + 25 7y = 3 + 25 Combine like terms: 3 + 25 = 28 7y = 28 Divide each side by '7'. y = 4 Simplifying y = 4
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