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Simplifying -8y + -1 = -21 + -12y + 6y Reorder the terms: -1 + -8y = -21 + -12y + 6y Combine like terms: -12y + 6y = -6y -1 + -8y = -21 + -6y Solving -1 + -8y = -21 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -1 + -8y + 6y = -21 + -6y + 6y Combine like terms: -8y + 6y = -2y -1 + -2y = -21 + -6y + 6y Combine like terms: -6y + 6y = 0 -1 + -2y = -21 + 0 -1 + -2y = -21 Add '1' to each side of the equation. -1 + 1 + -2y = -21 + 1 Combine like terms: -1 + 1 = 0 0 + -2y = -21 + 1 -2y = -21 + 1 Combine like terms: -21 + 1 = -20 -2y = -20 Divide each side by '-2'. y = 10 Simplifying y = 10
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