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Simplifying 7(y + -8) + 24 = 2.7(y + -6) Reorder the terms: 7(-8 + y) + 24 = 2.7(y + -6) (-8 * 7 + y * 7) + 24 = 2.7(y + -6) (-56 + 7y) + 24 = 2.7(y + -6) Reorder the terms: -56 + 24 + 7y = 2.7(y + -6) Combine like terms: -56 + 24 = -32 -32 + 7y = 2.7(y + -6) Reorder the terms: -32 + 7y = 2.7(-6 + y) -32 + 7y = (-6 * 2.7 + y * 2.7) -32 + 7y = (-16.2 + 2.7y) Solving -32 + 7y = -16.2 + 2.7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.7y' to each side of the equation. -32 + 7y + -2.7y = -16.2 + 2.7y + -2.7y Combine like terms: 7y + -2.7y = 4.3y -32 + 4.3y = -16.2 + 2.7y + -2.7y Combine like terms: 2.7y + -2.7y = 0.0 -32 + 4.3y = -16.2 + 0.0 -32 + 4.3y = -16.2 Add '32' to each side of the equation. -32 + 32 + 4.3y = -16.2 + 32 Combine like terms: -32 + 32 = 0 0 + 4.3y = -16.2 + 32 4.3y = -16.2 + 32 Combine like terms: -16.2 + 32 = 15.8 4.3y = 15.8 Divide each side by '4.3'. y = 3.674418605 Simplifying y = 3.674418605
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