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Simplifying -10 + 6 = 13y + 15 + -12y Combine like terms: -10 + 6 = -4 -4 = 13y + 15 + -12y Reorder the terms: -4 = 15 + 13y + -12y Combine like terms: 13y + -12y = 1y -4 = 15 + 1y Solving -4 = 15 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -4 + -1y = 15 + 1y + -1y Combine like terms: 1y + -1y = 0 -4 + -1y = 15 + 0 -4 + -1y = 15 Add '4' to each side of the equation. -4 + 4 + -1y = 15 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 15 + 4 -1y = 15 + 4 Combine like terms: 15 + 4 = 19 -1y = 19 Divide each side by '-1'. y = -19 Simplifying y = -19
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