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Simplifying -6y + -7 = 8y + 21 Reorder the terms: -7 + -6y = 8y + 21 Reorder the terms: -7 + -6y = 21 + 8y Solving -7 + -6y = 21 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -7 + -6y + -8y = 21 + 8y + -8y Combine like terms: -6y + -8y = -14y -7 + -14y = 21 + 8y + -8y Combine like terms: 8y + -8y = 0 -7 + -14y = 21 + 0 -7 + -14y = 21 Add '7' to each side of the equation. -7 + 7 + -14y = 21 + 7 Combine like terms: -7 + 7 = 0 0 + -14y = 21 + 7 -14y = 21 + 7 Combine like terms: 21 + 7 = 28 -14y = 28 Divide each side by '-14'. y = -2 Simplifying y = -2
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