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Simplifying 4[3 + -1y] = 6 + -2[1 + -3y] [3 * 4 + -1y * 4] = 6 + -2[1 + -3y] [12 + -4y] = 6 + -2[1 + -3y] 12 + -4y = 6 + [1 * -2 + -3y * -2] 12 + -4y = 6 + [-2 + 6y] Combine like terms: 6 + -2 = 4 12 + -4y = 4 + 6y Solving 12 + -4y = 4 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 12 + -4y + -6y = 4 + 6y + -6y Combine like terms: -4y + -6y = -10y 12 + -10y = 4 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + -10y = 4 + 0 12 + -10y = 4 Add '-12' to each side of the equation. 12 + -12 + -10y = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -10y = 4 + -12 -10y = 4 + -12 Combine like terms: 4 + -12 = -8 -10y = -8 Divide each side by '-10'. y = 0.8 Simplifying y = 0.8
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