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Simplifying -12 + -10 = 15y + 6 + -13y Combine like terms: -12 + -10 = -22 -22 = 15y + 6 + -13y Reorder the terms: -22 = 6 + 15y + -13y Combine like terms: 15y + -13y = 2y -22 = 6 + 2y Solving -22 = 6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -22 + -2y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 -22 + -2y = 6 + 0 -22 + -2y = 6 Add '22' to each side of the equation. -22 + 22 + -2y = 6 + 22 Combine like terms: -22 + 22 = 0 0 + -2y = 6 + 22 -2y = 6 + 22 Combine like terms: 6 + 22 = 28 -2y = 28 Divide each side by '-2'. y = -14 Simplifying y = -14
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