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Simplifying 0.625(y + -14) = 0.25(y + 12) Reorder the terms: 0.625(-14 + y) = 0.25(y + 12) (-14 * 0.625 + y * 0.625) = 0.25(y + 12) (-8.75 + 0.625y) = 0.25(y + 12) Reorder the terms: -8.75 + 0.625y = 0.25(12 + y) -8.75 + 0.625y = (12 * 0.25 + y * 0.25) -8.75 + 0.625y = (3 + 0.25y) Solving -8.75 + 0.625y = 3 + 0.25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.25y' to each side of the equation. -8.75 + 0.625y + -0.25y = 3 + 0.25y + -0.25y Combine like terms: 0.625y + -0.25y = 0.375y -8.75 + 0.375y = 3 + 0.25y + -0.25y Combine like terms: 0.25y + -0.25y = 0.00 -8.75 + 0.375y = 3 + 0.00 -8.75 + 0.375y = 3 Add '8.75' to each side of the equation. -8.75 + 8.75 + 0.375y = 3 + 8.75 Combine like terms: -8.75 + 8.75 = 0.00 0.00 + 0.375y = 3 + 8.75 0.375y = 3 + 8.75 Combine like terms: 3 + 8.75 = 11.75 0.375y = 11.75 Divide each side by '0.375'. y = 31.33333333 Simplifying y = 31.33333333
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