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Simplifying -4(y + 1) = 2y + -9 + 3(2y + 1) Reorder the terms: -4(1 + y) = 2y + -9 + 3(2y + 1) (1 * -4 + y * -4) = 2y + -9 + 3(2y + 1) (-4 + -4y) = 2y + -9 + 3(2y + 1) Reorder the terms: -4 + -4y = 2y + -9 + 3(1 + 2y) -4 + -4y = 2y + -9 + (1 * 3 + 2y * 3) -4 + -4y = 2y + -9 + (3 + 6y) Reorder the terms: -4 + -4y = -9 + 3 + 2y + 6y Combine like terms: -9 + 3 = -6 -4 + -4y = -6 + 2y + 6y Combine like terms: 2y + 6y = 8y -4 + -4y = -6 + 8y Solving -4 + -4y = -6 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -4 + -4y + -8y = -6 + 8y + -8y Combine like terms: -4y + -8y = -12y -4 + -12y = -6 + 8y + -8y Combine like terms: 8y + -8y = 0 -4 + -12y = -6 + 0 -4 + -12y = -6 Add '4' to each side of the equation. -4 + 4 + -12y = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -12y = -6 + 4 -12y = -6 + 4 Combine like terms: -6 + 4 = -2 -12y = -2 Divide each side by '-12'. y = 0.1666666667 Simplifying y = 0.1666666667
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