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Simplifying -6 = 3(y + -7) + -8y Reorder the terms: -6 = 3(-7 + y) + -8y -6 = (-7 * 3 + y * 3) + -8y -6 = (-21 + 3y) + -8y Combine like terms: 3y + -8y = -5y -6 = -21 + -5y Solving -6 = -21 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -6 + 5y = -21 + -5y + 5y Combine like terms: -5y + 5y = 0 -6 + 5y = -21 + 0 -6 + 5y = -21 Add '6' to each side of the equation. -6 + 6 + 5y = -21 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = -21 + 6 5y = -21 + 6 Combine like terms: -21 + 6 = -15 5y = -15 Divide each side by '5'. y = -3 Simplifying y = -3
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