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Simplifying 6[1 + -1(4y + -3)] = 8(4 + -2y) Reorder the terms: 6[1 + -1(-3 + 4y)] = 8(4 + -2y) 6[1 + (-3 * -1 + 4y * -1)] = 8(4 + -2y) 6[1 + (3 + -4y)] = 8(4 + -2y) Combine like terms: 1 + 3 = 4 6[4 + -4y] = 8(4 + -2y) [4 * 6 + -4y * 6] = 8(4 + -2y) [24 + -24y] = 8(4 + -2y) 24 + -24y = (4 * 8 + -2y * 8) 24 + -24y = (32 + -16y) Solving 24 + -24y = 32 + -16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16y' to each side of the equation. 24 + -24y + 16y = 32 + -16y + 16y Combine like terms: -24y + 16y = -8y 24 + -8y = 32 + -16y + 16y Combine like terms: -16y + 16y = 0 24 + -8y = 32 + 0 24 + -8y = 32 Add '-24' to each side of the equation. 24 + -24 + -8y = 32 + -24 Combine like terms: 24 + -24 = 0 0 + -8y = 32 + -24 -8y = 32 + -24 Combine like terms: 32 + -24 = 8 -8y = 8 Divide each side by '-8'. y = -1 Simplifying y = -1
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