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Simplifying 7(y + -8) + 24 = 27(y + -6) Reorder the terms: 7(-8 + y) + 24 = 27(y + -6) (-8 * 7 + y * 7) + 24 = 27(y + -6) (-56 + 7y) + 24 = 27(y + -6) Reorder the terms: -56 + 24 + 7y = 27(y + -6) Combine like terms: -56 + 24 = -32 -32 + 7y = 27(y + -6) Reorder the terms: -32 + 7y = 27(-6 + y) -32 + 7y = (-6 * 27 + y * 27) -32 + 7y = (-162 + 27y) Solving -32 + 7y = -162 + 27y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-27y' to each side of the equation. -32 + 7y + -27y = -162 + 27y + -27y Combine like terms: 7y + -27y = -20y -32 + -20y = -162 + 27y + -27y Combine like terms: 27y + -27y = 0 -32 + -20y = -162 + 0 -32 + -20y = -162 Add '32' to each side of the equation. -32 + 32 + -20y = -162 + 32 Combine like terms: -32 + 32 = 0 0 + -20y = -162 + 32 -20y = -162 + 32 Combine like terms: -162 + 32 = -130 -20y = -130 Divide each side by '-20'. y = 6.5 Simplifying y = 6.5
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