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Simplifying -6 = 5(y + -6) + 7y Reorder the terms: -6 = 5(-6 + y) + 7y -6 = (-6 * 5 + y * 5) + 7y -6 = (-30 + 5y) + 7y Combine like terms: 5y + 7y = 12y -6 = -30 + 12y Solving -6 = -30 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -6 + -12y = -30 + 12y + -12y Combine like terms: 12y + -12y = 0 -6 + -12y = -30 + 0 -6 + -12y = -30 Add '6' to each side of the equation. -6 + 6 + -12y = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -12y = -30 + 6 -12y = -30 + 6 Combine like terms: -30 + 6 = -24 -12y = -24 Divide each side by '-12'. y = 2 Simplifying y = 2
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