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Simplifying 27 = 8(y + -6) + 7y Reorder the terms: 27 = 8(-6 + y) + 7y 27 = (-6 * 8 + y * 8) + 7y 27 = (-48 + 8y) + 7y Combine like terms: 8y + 7y = 15y 27 = -48 + 15y Solving 27 = -48 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 27 + -15y = -48 + 15y + -15y Combine like terms: 15y + -15y = 0 27 + -15y = -48 + 0 27 + -15y = -48 Add '-27' to each side of the equation. 27 + -27 + -15y = -48 + -27 Combine like terms: 27 + -27 = 0 0 + -15y = -48 + -27 -15y = -48 + -27 Combine like terms: -48 + -27 = -75 -15y = -75 Divide each side by '-15'. y = 5 Simplifying y = 5
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