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Simplifying 4[5y + -4(y + -1)] = 3[4(y + 1)] Reorder the terms: 4[5y + -4(-1 + y)] = 3[4(y + 1)] 4[5y + (-1 * -4 + y * -4)] = 3[4(y + 1)] 4[5y + (4 + -4y)] = 3[4(y + 1)] Reorder the terms: 4[4 + 5y + -4y] = 3[4(y + 1)] Combine like terms: 5y + -4y = 1y 4[4 + 1y] = 3[4(y + 1)] [4 * 4 + 1y * 4] = 3[4(y + 1)] [16 + 4y] = 3[4(y + 1)] Reorder the terms: 16 + 4y = 3[4(1 + y)] 16 + 4y = 3[(1 * 4 + y * 4)] 16 + 4y = 3[(4 + 4y)] 16 + 4y = [4 * 3 + 4y * 3] 16 + 4y = [12 + 12y] Solving 16 + 4y = 12 + 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. 16 + 4y + -12y = 12 + 12y + -12y Combine like terms: 4y + -12y = -8y 16 + -8y = 12 + 12y + -12y Combine like terms: 12y + -12y = 0 16 + -8y = 12 + 0 16 + -8y = 12 Add '-16' to each side of the equation. 16 + -16 + -8y = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -8y = 12 + -16 -8y = 12 + -16 Combine like terms: 12 + -16 = -4 -8y = -4 Divide each side by '-8'. y = 0.5 Simplifying y = 0.5
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