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Simplifying -9 + 3y + 5 + -7 = -6(y + -12) Reorder the terms: -9 + 5 + -7 + 3y = -6(y + -12) Combine like terms: -9 + 5 = -4 -4 + -7 + 3y = -6(y + -12) Combine like terms: -4 + -7 = -11 -11 + 3y = -6(y + -12) Reorder the terms: -11 + 3y = -6(-12 + y) -11 + 3y = (-12 * -6 + y * -6) -11 + 3y = (72 + -6y) Solving -11 + 3y = 72 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -11 + 3y + 6y = 72 + -6y + 6y Combine like terms: 3y + 6y = 9y -11 + 9y = 72 + -6y + 6y Combine like terms: -6y + 6y = 0 -11 + 9y = 72 + 0 -11 + 9y = 72 Add '11' to each side of the equation. -11 + 11 + 9y = 72 + 11 Combine like terms: -11 + 11 = 0 0 + 9y = 72 + 11 9y = 72 + 11 Combine like terms: 72 + 11 = 83 9y = 83 Divide each side by '9'. y = 9.222222222 Simplifying y = 9.222222222
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