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Simplifying 3(y + 4) = 54(y + -2) Reorder the terms: 3(4 + y) = 54(y + -2) (4 * 3 + y * 3) = 54(y + -2) (12 + 3y) = 54(y + -2) Reorder the terms: 12 + 3y = 54(-2 + y) 12 + 3y = (-2 * 54 + y * 54) 12 + 3y = (-108 + 54y) Solving 12 + 3y = -108 + 54y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-54y' to each side of the equation. 12 + 3y + -54y = -108 + 54y + -54y Combine like terms: 3y + -54y = -51y 12 + -51y = -108 + 54y + -54y Combine like terms: 54y + -54y = 0 12 + -51y = -108 + 0 12 + -51y = -108 Add '-12' to each side of the equation. 12 + -12 + -51y = -108 + -12 Combine like terms: 12 + -12 = 0 0 + -51y = -108 + -12 -51y = -108 + -12 Combine like terms: -108 + -12 = -120 -51y = -120 Divide each side by '-51'. y = 2.352941176 Simplifying y = 2.352941176
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