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Simplifying -5y + 4(-6y + -1) = 2 + -7(9 + -1y) Reorder the terms: -5y + 4(-1 + -6y) = 2 + -7(9 + -1y) -5y + (-1 * 4 + -6y * 4) = 2 + -7(9 + -1y) -5y + (-4 + -24y) = 2 + -7(9 + -1y) Reorder the terms: -4 + -5y + -24y = 2 + -7(9 + -1y) Combine like terms: -5y + -24y = -29y -4 + -29y = 2 + -7(9 + -1y) -4 + -29y = 2 + (9 * -7 + -1y * -7) -4 + -29y = 2 + (-63 + 7y) Combine like terms: 2 + -63 = -61 -4 + -29y = -61 + 7y Solving -4 + -29y = -61 + 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. -4 + -29y + -7y = -61 + 7y + -7y Combine like terms: -29y + -7y = -36y -4 + -36y = -61 + 7y + -7y Combine like terms: 7y + -7y = 0 -4 + -36y = -61 + 0 -4 + -36y = -61 Add '4' to each side of the equation. -4 + 4 + -36y = -61 + 4 Combine like terms: -4 + 4 = 0 0 + -36y = -61 + 4 -36y = -61 + 4 Combine like terms: -61 + 4 = -57 -36y = -57 Divide each side by '-36'. y = 1.583333333 Simplifying y = 1.583333333
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