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Simplifying -5y + -2(y + 4) = 6y + -8 Reorder the terms: -5y + -2(4 + y) = 6y + -8 -5y + (4 * -2 + y * -2) = 6y + -8 -5y + (-8 + -2y) = 6y + -8 Reorder the terms: -8 + -5y + -2y = 6y + -8 Combine like terms: -5y + -2y = -7y -8 + -7y = 6y + -8 Reorder the terms: -8 + -7y = -8 + 6y Add '8' to each side of the equation. -8 + 8 + -7y = -8 + 8 + 6y Combine like terms: -8 + 8 = 0 0 + -7y = -8 + 8 + 6y -7y = -8 + 8 + 6y Combine like terms: -8 + 8 = 0 -7y = 0 + 6y -7y = 6y Solving -7y = 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. -7y + -6y = 6y + -6y Combine like terms: -7y + -6y = -13y -13y = 6y + -6y Combine like terms: 6y + -6y = 0 -13y = 0 Divide each side by '-13'. y = 0 Simplifying y = 0
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