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Simplifying 7(y + -8) + 24 = 13(y + -6) Reorder the terms: 7(-8 + y) + 24 = 13(y + -6) (-8 * 7 + y * 7) + 24 = 13(y + -6) (-56 + 7y) + 24 = 13(y + -6) Reorder the terms: -56 + 24 + 7y = 13(y + -6) Combine like terms: -56 + 24 = -32 -32 + 7y = 13(y + -6) Reorder the terms: -32 + 7y = 13(-6 + y) -32 + 7y = (-6 * 13 + y * 13) -32 + 7y = (-78 + 13y) Solving -32 + 7y = -78 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -32 + 7y + -13y = -78 + 13y + -13y Combine like terms: 7y + -13y = -6y -32 + -6y = -78 + 13y + -13y Combine like terms: 13y + -13y = 0 -32 + -6y = -78 + 0 -32 + -6y = -78 Add '32' to each side of the equation. -32 + 32 + -6y = -78 + 32 Combine like terms: -32 + 32 = 0 0 + -6y = -78 + 32 -6y = -78 + 32 Combine like terms: -78 + 32 = -46 -6y = -46 Divide each side by '-6'. y = 7.666666667 Simplifying y = 7.666666667
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