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Simplifying -3y + -1(-6y + 1) = 1 + 3(-4 + -1y) Reorder the terms: -3y + -1(1 + -6y) = 1 + 3(-4 + -1y) -3y + (1 * -1 + -6y * -1) = 1 + 3(-4 + -1y) -3y + (-1 + 6y) = 1 + 3(-4 + -1y) Reorder the terms: -1 + -3y + 6y = 1 + 3(-4 + -1y) Combine like terms: -3y + 6y = 3y -1 + 3y = 1 + 3(-4 + -1y) -1 + 3y = 1 + (-4 * 3 + -1y * 3) -1 + 3y = 1 + (-12 + -3y) Combine like terms: 1 + -12 = -11 -1 + 3y = -11 + -3y Solving -1 + 3y = -11 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -1 + 3y + 3y = -11 + -3y + 3y Combine like terms: 3y + 3y = 6y -1 + 6y = -11 + -3y + 3y Combine like terms: -3y + 3y = 0 -1 + 6y = -11 + 0 -1 + 6y = -11 Add '1' to each side of the equation. -1 + 1 + 6y = -11 + 1 Combine like terms: -1 + 1 = 0 0 + 6y = -11 + 1 6y = -11 + 1 Combine like terms: -11 + 1 = -10 6y = -10 Divide each side by '6'. y = -1.666666667 Simplifying y = -1.666666667
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