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Simplifying -3 + 13y + 8 = 15 + 17y + -38 Reorder the terms: -3 + 8 + 13y = 15 + 17y + -38 Combine like terms: -3 + 8 = 5 5 + 13y = 15 + 17y + -38 Reorder the terms: 5 + 13y = 15 + -38 + 17y Combine like terms: 15 + -38 = -23 5 + 13y = -23 + 17y Solving 5 + 13y = -23 + 17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17y' to each side of the equation. 5 + 13y + -17y = -23 + 17y + -17y Combine like terms: 13y + -17y = -4y 5 + -4y = -23 + 17y + -17y Combine like terms: 17y + -17y = 0 5 + -4y = -23 + 0 5 + -4y = -23 Add '-5' to each side of the equation. 5 + -5 + -4y = -23 + -5 Combine like terms: 5 + -5 = 0 0 + -4y = -23 + -5 -4y = -23 + -5 Combine like terms: -23 + -5 = -28 -4y = -28 Divide each side by '-4'. y = 7 Simplifying y = 7
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