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Simplifying 3y = 4[5 + -3(4 + -1y)] 3y = 4[5 + (4 * -3 + -1y * -3)] 3y = 4[5 + (-12 + 3y)] Combine like terms: 5 + -12 = -7 3y = 4[-7 + 3y] 3y = [-7 * 4 + 3y * 4] 3y = [-28 + 12y] Solving 3y = -28 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 3y + -12y = -28 + 12y + -12y Combine like terms: 3y + -12y = -9y -9y = -28 + 12y + -12y Combine like terms: 12y + -12y = 0 -9y = -28 + 0 -9y = -28 Divide each side by '-9'. y = 3.111111111 Simplifying y = 3.111111111
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