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Simplifying 3(y + 8) = 4(y + -2) Reorder the terms: 3(8 + y) = 4(y + -2) (8 * 3 + y * 3) = 4(y + -2) (24 + 3y) = 4(y + -2) Reorder the terms: 24 + 3y = 4(-2 + y) 24 + 3y = (-2 * 4 + y * 4) 24 + 3y = (-8 + 4y) Solving 24 + 3y = -8 + 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. 24 + 3y + -4y = -8 + 4y + -4y Combine like terms: 3y + -4y = -1y 24 + -1y = -8 + 4y + -4y Combine like terms: 4y + -4y = 0 24 + -1y = -8 + 0 24 + -1y = -8 Add '-24' to each side of the equation. 24 + -24 + -1y = -8 + -24 Combine like terms: 24 + -24 = 0 0 + -1y = -8 + -24 -1y = -8 + -24 Combine like terms: -8 + -24 = -32 -1y = -32 Divide each side by '-1'. y = 32 Simplifying y = 32
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