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Simplifying y + 3(y + -1) = 6 + -4(2y + 3) Reorder the terms: y + 3(-1 + y) = 6 + -4(2y + 3) y + (-1 * 3 + y * 3) = 6 + -4(2y + 3) y + (-3 + 3y) = 6 + -4(2y + 3) Reorder the terms: -3 + y + 3y = 6 + -4(2y + 3) Combine like terms: y + 3y = 4y -3 + 4y = 6 + -4(2y + 3) Reorder the terms: -3 + 4y = 6 + -4(3 + 2y) -3 + 4y = 6 + (3 * -4 + 2y * -4) -3 + 4y = 6 + (-12 + -8y) Combine like terms: 6 + -12 = -6 -3 + 4y = -6 + -8y Solving -3 + 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. -3 + 4y + 8y = -6 + -8y + 8y Combine like terms: 4y + 8y = 12y -3 + 12y = -6 + -8y + 8y Combine like terms: -8y + 8y = 0 -3 + 12y = -6 + 0 -3 + 12y = -6 Add '3' to each side of the equation. -3 + 3 + 12y = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 12y = -6 + 3 12y = -6 + 3 Combine like terms: -6 + 3 = -3 12y = -3 Divide each side by '12'. y = -0.25 Simplifying y = -0.25
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