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Simplifying -6y + 4(6y + -6) = -5 + 7(1 + -1y) Reorder the terms: -6y + 4(-6 + 6y) = -5 + 7(1 + -1y) -6y + (-6 * 4 + 6y * 4) = -5 + 7(1 + -1y) -6y + (-24 + 24y) = -5 + 7(1 + -1y) Reorder the terms: -24 + -6y + 24y = -5 + 7(1 + -1y) Combine like terms: -6y + 24y = 18y -24 + 18y = -5 + 7(1 + -1y) -24 + 18y = -5 + (1 * 7 + -1y * 7) -24 + 18y = -5 + (7 + -7y) Combine like terms: -5 + 7 = 2 -24 + 18y = 2 + -7y Solving -24 + 18y = 2 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -24 + 18y + 7y = 2 + -7y + 7y Combine like terms: 18y + 7y = 25y -24 + 25y = 2 + -7y + 7y Combine like terms: -7y + 7y = 0 -24 + 25y = 2 + 0 -24 + 25y = 2 Add '24' to each side of the equation. -24 + 24 + 25y = 2 + 24 Combine like terms: -24 + 24 = 0 0 + 25y = 2 + 24 25y = 2 + 24 Combine like terms: 2 + 24 = 26 25y = 26 Divide each side by '25'. y = 1.04 Simplifying y = 1.04
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