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Simplifying 3(y + 2) = 4(y + -8) Reorder the terms: 3(2 + y) = 4(y + -8) (2 * 3 + y * 3) = 4(y + -8) (6 + 3y) = 4(y + -8) Reorder the terms: 6 + 3y = 4(-8 + y) 6 + 3y = (-8 * 4 + y * 4) 6 + 3y = (-32 + 4y) Solving 6 + 3y = -32 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 6 + 3y + -4y = -32 + 4y + -4y Combine like terms: 3y + -4y = -1y 6 + -1y = -32 + 4y + -4y Combine like terms: 4y + -4y = 0 6 + -1y = -32 + 0 6 + -1y = -32 Add '-6' to each side of the equation. 6 + -6 + -1y = -32 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = -32 + -6 -1y = -32 + -6 Combine like terms: -32 + -6 = -38 -1y = -38 Divide each side by '-1'. y = 38 Simplifying y = 38
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