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Simplifying -3y + 4(-6y + 1) = 3 + -4(-7 + -1y) Reorder the terms: -3y + 4(1 + -6y) = 3 + -4(-7 + -1y) -3y + (1 * 4 + -6y * 4) = 3 + -4(-7 + -1y) -3y + (4 + -24y) = 3 + -4(-7 + -1y) Reorder the terms: 4 + -3y + -24y = 3 + -4(-7 + -1y) Combine like terms: -3y + -24y = -27y 4 + -27y = 3 + -4(-7 + -1y) 4 + -27y = 3 + (-7 * -4 + -1y * -4) 4 + -27y = 3 + (28 + 4y) Combine like terms: 3 + 28 = 31 4 + -27y = 31 + 4y Solving 4 + -27y = 31 + 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. 4 + -27y + -4y = 31 + 4y + -4y Combine like terms: -27y + -4y = -31y 4 + -31y = 31 + 4y + -4y Combine like terms: 4y + -4y = 0 4 + -31y = 31 + 0 4 + -31y = 31 Add '-4' to each side of the equation. 4 + -4 + -31y = 31 + -4 Combine like terms: 4 + -4 = 0 0 + -31y = 31 + -4 -31y = 31 + -4 Combine like terms: 31 + -4 = 27 -31y = 27 Divide each side by '-31'. y = -0.8709677419 Simplifying y = -0.8709677419
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