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Simplifying 5(y + -6) + 8 = 7y + -8 Reorder the terms: 5(-6 + y) + 8 = 7y + -8 (-6 * 5 + y * 5) + 8 = 7y + -8 (-30 + 5y) + 8 = 7y + -8 Reorder the terms: -30 + 8 + 5y = 7y + -8 Combine like terms: -30 + 8 = -22 -22 + 5y = 7y + -8 Reorder the terms: -22 + 5y = -8 + 7y Solving -22 + 5y = -8 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -22 + 5y + -7y = -8 + 7y + -7y Combine like terms: 5y + -7y = -2y -22 + -2y = -8 + 7y + -7y Combine like terms: 7y + -7y = 0 -22 + -2y = -8 + 0 -22 + -2y = -8 Add '22' to each side of the equation. -22 + 22 + -2y = -8 + 22 Combine like terms: -22 + 22 = 0 0 + -2y = -8 + 22 -2y = -8 + 22 Combine like terms: -8 + 22 = 14 -2y = 14 Divide each side by '-2'. y = -7 Simplifying y = -7
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