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Simplifying 3y + 2(y + -4) = y + 8 Reorder the terms: 3y + 2(-4 + y) = y + 8 3y + (-4 * 2 + y * 2) = y + 8 3y + (-8 + 2y) = y + 8 Reorder the terms: -8 + 3y + 2y = y + 8 Combine like terms: 3y + 2y = 5y -8 + 5y = y + 8 Reorder the terms: -8 + 5y = 8 + y Solving -8 + 5y = 8 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -8 + 5y + -1y = 8 + y + -1y Combine like terms: 5y + -1y = 4y -8 + 4y = 8 + y + -1y Combine like terms: y + -1y = 0 -8 + 4y = 8 + 0 -8 + 4y = 8 Add '8' to each side of the equation. -8 + 8 + 4y = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4y = 8 + 8 4y = 8 + 8 Combine like terms: 8 + 8 = 16 4y = 16 Divide each side by '4'. y = 4 Simplifying y = 4
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