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Simplifying 7(y + -8) + 24 = 83(y + -6) Reorder the terms: 7(-8 + y) + 24 = 83(y + -6) (-8 * 7 + y * 7) + 24 = 83(y + -6) (-56 + 7y) + 24 = 83(y + -6) Reorder the terms: -56 + 24 + 7y = 83(y + -6) Combine like terms: -56 + 24 = -32 -32 + 7y = 83(y + -6) Reorder the terms: -32 + 7y = 83(-6 + y) -32 + 7y = (-6 * 83 + y * 83) -32 + 7y = (-498 + 83y) Solving -32 + 7y = -498 + 83y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-83y' to each side of the equation. -32 + 7y + -83y = -498 + 83y + -83y Combine like terms: 7y + -83y = -76y -32 + -76y = -498 + 83y + -83y Combine like terms: 83y + -83y = 0 -32 + -76y = -498 + 0 -32 + -76y = -498 Add '32' to each side of the equation. -32 + 32 + -76y = -498 + 32 Combine like terms: -32 + 32 = 0 0 + -76y = -498 + 32 -76y = -498 + 32 Combine like terms: -498 + 32 = -466 -76y = -466 Divide each side by '-76'. y = 6.131578947 Simplifying y = 6.131578947
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