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Simplifying 15y + -3(2b + 7) = -12 Reorder the terms: 15y + -3(7 + 2b) = -12 15y + (7 * -3 + 2b * -3) = -12 15y + (-21 + -6b) = -12 Reorder the terms: -21 + -6b + 15y = -12 Solving -21 + -6b + 15y = -12 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21' to each side of the equation. -21 + -6b + 21 + 15y = -12 + 21 Reorder the terms: -21 + 21 + -6b + 15y = -12 + 21 Combine like terms: -21 + 21 = 0 0 + -6b + 15y = -12 + 21 -6b + 15y = -12 + 21 Combine like terms: -12 + 21 = 9 -6b + 15y = 9 Add '-15y' to each side of the equation. -6b + 15y + -15y = 9 + -15y Combine like terms: 15y + -15y = 0 -6b + 0 = 9 + -15y -6b = 9 + -15y Divide each side by '-6'. b = -1.5 + 2.5y Simplifying b = -1.5 + 2.5y
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