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Simplifying 7(y + -8) + 24 = -31(y + -6) Reorder the terms: 7(-8 + y) + 24 = -31(y + -6) (-8 * 7 + y * 7) + 24 = -31(y + -6) (-56 + 7y) + 24 = -31(y + -6) Reorder the terms: -56 + 24 + 7y = -31(y + -6) Combine like terms: -56 + 24 = -32 -32 + 7y = -31(y + -6) Reorder the terms: -32 + 7y = -31(-6 + y) -32 + 7y = (-6 * -31 + y * -31) -32 + 7y = (186 + -31y) Solving -32 + 7y = 186 + -31y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '31y' to each side of the equation. -32 + 7y + 31y = 186 + -31y + 31y Combine like terms: 7y + 31y = 38y -32 + 38y = 186 + -31y + 31y Combine like terms: -31y + 31y = 0 -32 + 38y = 186 + 0 -32 + 38y = 186 Add '32' to each side of the equation. -32 + 32 + 38y = 186 + 32 Combine like terms: -32 + 32 = 0 0 + 38y = 186 + 32 38y = 186 + 32 Combine like terms: 186 + 32 = 218 38y = 218 Divide each side by '38'. y = 5.736842105 Simplifying y = 5.736842105
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