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Simplifying 7(y + -8) + 24 = 1.72(y + -6) Reorder the terms: 7(-8 + y) + 24 = 1.72(y + -6) (-8 * 7 + y * 7) + 24 = 1.72(y + -6) (-56 + 7y) + 24 = 1.72(y + -6) Reorder the terms: -56 + 24 + 7y = 1.72(y + -6) Combine like terms: -56 + 24 = -32 -32 + 7y = 1.72(y + -6) Reorder the terms: -32 + 7y = 1.72(-6 + y) -32 + 7y = (-6 * 1.72 + y * 1.72) -32 + 7y = (-10.32 + 1.72y) Solving -32 + 7y = -10.32 + 1.72y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.72y' to each side of the equation. -32 + 7y + -1.72y = -10.32 + 1.72y + -1.72y Combine like terms: 7y + -1.72y = 5.28y -32 + 5.28y = -10.32 + 1.72y + -1.72y Combine like terms: 1.72y + -1.72y = 0.00 -32 + 5.28y = -10.32 + 0.00 -32 + 5.28y = -10.32 Add '32' to each side of the equation. -32 + 32 + 5.28y = -10.32 + 32 Combine like terms: -32 + 32 = 0 0 + 5.28y = -10.32 + 32 5.28y = -10.32 + 32 Combine like terms: -10.32 + 32 = 21.68 5.28y = 21.68 Divide each side by '5.28'. y = 4.106060606 Simplifying y = 4.106060606
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