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Simplifying -2y + 4(-7y + -8) = 1 + -6(5 + -1y) Reorder the terms: -2y + 4(-8 + -7y) = 1 + -6(5 + -1y) -2y + (-8 * 4 + -7y * 4) = 1 + -6(5 + -1y) -2y + (-32 + -28y) = 1 + -6(5 + -1y) Reorder the terms: -32 + -2y + -28y = 1 + -6(5 + -1y) Combine like terms: -2y + -28y = -30y -32 + -30y = 1 + -6(5 + -1y) -32 + -30y = 1 + (5 * -6 + -1y * -6) -32 + -30y = 1 + (-30 + 6y) Combine like terms: 1 + -30 = -29 -32 + -30y = -29 + 6y Solving -32 + -30y = -29 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -32 + -30y + -6y = -29 + 6y + -6y Combine like terms: -30y + -6y = -36y -32 + -36y = -29 + 6y + -6y Combine like terms: 6y + -6y = 0 -32 + -36y = -29 + 0 -32 + -36y = -29 Add '32' to each side of the equation. -32 + 32 + -36y = -29 + 32 Combine like terms: -32 + 32 = 0 0 + -36y = -29 + 32 -36y = -29 + 32 Combine like terms: -29 + 32 = 3 -36y = 3 Divide each side by '-36'. y = -0.08333333333 Simplifying y = -0.08333333333
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