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Simplifying 3(y + 6) = 4(y + -4) Reorder the terms: 3(6 + y) = 4(y + -4) (6 * 3 + y * 3) = 4(y + -4) (18 + 3y) = 4(y + -4) Reorder the terms: 18 + 3y = 4(-4 + y) 18 + 3y = (-4 * 4 + y * 4) 18 + 3y = (-16 + 4y) Solving 18 + 3y = -16 + 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. 18 + 3y + -4y = -16 + 4y + -4y Combine like terms: 3y + -4y = -1y 18 + -1y = -16 + 4y + -4y Combine like terms: 4y + -4y = 0 18 + -1y = -16 + 0 18 + -1y = -16 Add '-18' to each side of the equation. 18 + -18 + -1y = -16 + -18 Combine like terms: 18 + -18 = 0 0 + -1y = -16 + -18 -1y = -16 + -18 Combine like terms: -16 + -18 = -34 -1y = -34 Divide each side by '-1'. y = 34 Simplifying y = 34
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