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Simplifying 4(y + -8) = 2 + 3y Reorder the terms: 4(-8 + y) = 2 + 3y (-8 * 4 + y * 4) = 2 + 3y (-32 + 4y) = 2 + 3y Solving -32 + 4y = 2 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -32 + 4y + -3y = 2 + 3y + -3y Combine like terms: 4y + -3y = 1y -32 + 1y = 2 + 3y + -3y Combine like terms: 3y + -3y = 0 -32 + 1y = 2 + 0 -32 + 1y = 2 Add '32' to each side of the equation. -32 + 32 + 1y = 2 + 32 Combine like terms: -32 + 32 = 0 0 + 1y = 2 + 32 1y = 2 + 32 Combine like terms: 2 + 32 = 34 1y = 34 Divide each side by '1'. y = 34 Simplifying y = 34
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