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Simplifying -4y + -6(7y + 6) = -3 + 9(-4 + -1y) Reorder the terms: -4y + -6(6 + 7y) = -3 + 9(-4 + -1y) -4y + (6 * -6 + 7y * -6) = -3 + 9(-4 + -1y) -4y + (-36 + -42y) = -3 + 9(-4 + -1y) Reorder the terms: -36 + -4y + -42y = -3 + 9(-4 + -1y) Combine like terms: -4y + -42y = -46y -36 + -46y = -3 + 9(-4 + -1y) -36 + -46y = -3 + (-4 * 9 + -1y * 9) -36 + -46y = -3 + (-36 + -9y) Combine like terms: -3 + -36 = -39 -36 + -46y = -39 + -9y Solving -36 + -46y = -39 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -36 + -46y + 9y = -39 + -9y + 9y Combine like terms: -46y + 9y = -37y -36 + -37y = -39 + -9y + 9y Combine like terms: -9y + 9y = 0 -36 + -37y = -39 + 0 -36 + -37y = -39 Add '36' to each side of the equation. -36 + 36 + -37y = -39 + 36 Combine like terms: -36 + 36 = 0 0 + -37y = -39 + 36 -37y = -39 + 36 Combine like terms: -39 + 36 = -3 -37y = -3 Divide each side by '-37'. y = 0.08108108108 Simplifying y = 0.08108108108
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