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Simplifying 7(y + -8) = 6(y + -9) Reorder the terms: 7(-8 + y) = 6(y + -9) (-8 * 7 + y * 7) = 6(y + -9) (-56 + 7y) = 6(y + -9) Reorder the terms: -56 + 7y = 6(-9 + y) -56 + 7y = (-9 * 6 + y * 6) -56 + 7y = (-54 + 6y) Solving -56 + 7y = -54 + 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. -56 + 7y + -6y = -54 + 6y + -6y Combine like terms: 7y + -6y = 1y -56 + 1y = -54 + 6y + -6y Combine like terms: 6y + -6y = 0 -56 + 1y = -54 + 0 -56 + 1y = -54 Add '56' to each side of the equation. -56 + 56 + 1y = -54 + 56 Combine like terms: -56 + 56 = 0 0 + 1y = -54 + 56 1y = -54 + 56 Combine like terms: -54 + 56 = 2 1y = 2 Divide each side by '1'. y = 2 Simplifying y = 2
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