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Simplifying 4(y + 3) + -12b = 116 Reorder the terms: 4(3 + y) + -12b = 116 (3 * 4 + y * 4) + -12b = 116 (12 + 4y) + -12b = 116 Reorder the terms: 12 + -12b + 4y = 116 Solving 12 + -12b + 4y = 116 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12b + -12 + 4y = 116 + -12 Reorder the terms: 12 + -12 + -12b + 4y = 116 + -12 Combine like terms: 12 + -12 = 0 0 + -12b + 4y = 116 + -12 -12b + 4y = 116 + -12 Combine like terms: 116 + -12 = 104 -12b + 4y = 104 Add '-4y' to each side of the equation. -12b + 4y + -4y = 104 + -4y Combine like terms: 4y + -4y = 0 -12b + 0 = 104 + -4y -12b = 104 + -4y Divide each side by '-12'. b = -8.666666667 + 0.3333333333y Simplifying b = -8.666666667 + 0.3333333333y
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