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Simplifying 6y + 22 = 7(y + -8) Reorder the terms: 22 + 6y = 7(y + -8) Reorder the terms: 22 + 6y = 7(-8 + y) 22 + 6y = (-8 * 7 + y * 7) 22 + 6y = (-56 + 7y) Solving 22 + 6y = -56 + 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 + 6y + -7y = -56 + 7y + -7y Combine like terms: 6y + -7y = -1y 22 + -1y = -56 + 7y + -7y Combine like terms: 7y + -7y = 0 22 + -1y = -56 + 0 22 + -1y = -56 Add '-22' to each side of the equation. 22 + -22 + -1y = -56 + -22 Combine like terms: 22 + -22 = 0 0 + -1y = -56 + -22 -1y = -56 + -22 Combine like terms: -56 + -22 = -78 -1y = -78 Divide each side by '-1'. y = 78 Simplifying y = 78
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