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Simplifying 3y + 4 = 8 + -1(y + 6) Reorder the terms: 4 + 3y = 8 + -1(y + 6) Reorder the terms: 4 + 3y = 8 + -1(6 + y) 4 + 3y = 8 + (6 * -1 + y * -1) 4 + 3y = 8 + (-6 + -1y) Combine like terms: 8 + -6 = 2 4 + 3y = 2 + -1y Solving 4 + 3y = 2 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 4 + 3y + y = 2 + -1y + y Combine like terms: 3y + y = 4y 4 + 4y = 2 + -1y + y Combine like terms: -1y + y = 0 4 + 4y = 2 + 0 4 + 4y = 2 Add '-4' to each side of the equation. 4 + -4 + 4y = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 4y = 2 + -4 4y = 2 + -4 Combine like terms: 2 + -4 = -2 4y = -2 Divide each side by '4'. y = -0.5 Simplifying y = -0.5
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