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Simplifying y + -3 + -4(1 + -9y) = 8y + -1(6y + 3) y + -3 + (1 * -4 + -9y * -4) = 8y + -1(6y + 3) y + -3 + (-4 + 36y) = 8y + -1(6y + 3) Reorder the terms: -3 + -4 + y + 36y = 8y + -1(6y + 3) Combine like terms: -3 + -4 = -7 -7 + y + 36y = 8y + -1(6y + 3) Combine like terms: y + 36y = 37y -7 + 37y = 8y + -1(6y + 3) Reorder the terms: -7 + 37y = 8y + -1(3 + 6y) -7 + 37y = 8y + (3 * -1 + 6y * -1) -7 + 37y = 8y + (-3 + -6y) Reorder the terms: -7 + 37y = -3 + 8y + -6y Combine like terms: 8y + -6y = 2y -7 + 37y = -3 + 2y Solving -7 + 37y = -3 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -7 + 37y + -2y = -3 + 2y + -2y Combine like terms: 37y + -2y = 35y -7 + 35y = -3 + 2y + -2y Combine like terms: 2y + -2y = 0 -7 + 35y = -3 + 0 -7 + 35y = -3 Add '7' to each side of the equation. -7 + 7 + 35y = -3 + 7 Combine like terms: -7 + 7 = 0 0 + 35y = -3 + 7 35y = -3 + 7 Combine like terms: -3 + 7 = 4 35y = 4 Divide each side by '35'. y = 0.1142857143 Simplifying y = 0.1142857143
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