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Simplifying 3 + -6(-7y + -4) = (-4y + 8) + -7 Reorder the terms: 3 + -6(-4 + -7y) = (-4y + 8) + -7 3 + (-4 * -6 + -7y * -6) = (-4y + 8) + -7 3 + (24 + 42y) = (-4y + 8) + -7 Combine like terms: 3 + 24 = 27 27 + 42y = (-4y + 8) + -7 Reorder the terms: 27 + 42y = (8 + -4y) + -7 Remove parenthesis around (8 + -4y) 27 + 42y = 8 + -4y + -7 Reorder the terms: 27 + 42y = 8 + -7 + -4y Combine like terms: 8 + -7 = 1 27 + 42y = 1 + -4y Solving 27 + 42y = 1 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 27 + 42y + 4y = 1 + -4y + 4y Combine like terms: 42y + 4y = 46y 27 + 46y = 1 + -4y + 4y Combine like terms: -4y + 4y = 0 27 + 46y = 1 + 0 27 + 46y = 1 Add '-27' to each side of the equation. 27 + -27 + 46y = 1 + -27 Combine like terms: 27 + -27 = 0 0 + 46y = 1 + -27 46y = 1 + -27 Combine like terms: 1 + -27 = -26 46y = -26 Divide each side by '46'. y = -0.5652173913 Simplifying y = -0.5652173913
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