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Simplifying 3y + -4(3y + -3) = 3 + -4(4 + -1y) Reorder the terms: 3y + -4(-3 + 3y) = 3 + -4(4 + -1y) 3y + (-3 * -4 + 3y * -4) = 3 + -4(4 + -1y) 3y + (12 + -12y) = 3 + -4(4 + -1y) Reorder the terms: 12 + 3y + -12y = 3 + -4(4 + -1y) Combine like terms: 3y + -12y = -9y 12 + -9y = 3 + -4(4 + -1y) 12 + -9y = 3 + (4 * -4 + -1y * -4) 12 + -9y = 3 + (-16 + 4y) Combine like terms: 3 + -16 = -13 12 + -9y = -13 + 4y Solving 12 + -9y = -13 + 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. 12 + -9y + -4y = -13 + 4y + -4y Combine like terms: -9y + -4y = -13y 12 + -13y = -13 + 4y + -4y Combine like terms: 4y + -4y = 0 12 + -13y = -13 + 0 12 + -13y = -13 Add '-12' to each side of the equation. 12 + -12 + -13y = -13 + -12 Combine like terms: 12 + -12 = 0 0 + -13y = -13 + -12 -13y = -13 + -12 Combine like terms: -13 + -12 = -25 -13y = -25 Divide each side by '-13'. y = 1.923076923 Simplifying y = 1.923076923
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