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Simplifying 4y + -3(y + -4) + 1 = 6 Reorder the terms: 4y + -3(-4 + y) + 1 = 6 4y + (-4 * -3 + y * -3) + 1 = 6 4y + (12 + -3y) + 1 = 6 Reorder the terms: 12 + 1 + 4y + -3y = 6 Combine like terms: 12 + 1 = 13 13 + 4y + -3y = 6 Combine like terms: 4y + -3y = 1y 13 + 1y = 6 Solving 13 + 1y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 1y = 6 + -13 Combine like terms: 13 + -13 = 0 0 + 1y = 6 + -13 1y = 6 + -13 Combine like terms: 6 + -13 = -7 1y = -7 Divide each side by '1'. y = -7 Simplifying y = -7
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