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Simplifying 12y + 9 = 3(5y + -7) Reorder the terms: 9 + 12y = 3(5y + -7) Reorder the terms: 9 + 12y = 3(-7 + 5y) 9 + 12y = (-7 * 3 + 5y * 3) 9 + 12y = (-21 + 15y) Solving 9 + 12y = -21 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 9 + 12y + -15y = -21 + 15y + -15y Combine like terms: 12y + -15y = -3y 9 + -3y = -21 + 15y + -15y Combine like terms: 15y + -15y = 0 9 + -3y = -21 + 0 9 + -3y = -21 Add '-9' to each side of the equation. 9 + -9 + -3y = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -3y = -21 + -9 -3y = -21 + -9 Combine like terms: -21 + -9 = -30 -3y = -30 Divide each side by '-3'. y = 10 Simplifying y = 10
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