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Simplifying -9 = 5y + -4(2y + -3) Reorder the terms: -9 = 5y + -4(-3 + 2y) -9 = 5y + (-3 * -4 + 2y * -4) -9 = 5y + (12 + -8y) Reorder the terms: -9 = 12 + 5y + -8y Combine like terms: 5y + -8y = -3y -9 = 12 + -3y Solving -9 = 12 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -9 + 3y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 -9 + 3y = 12 + 0 -9 + 3y = 12 Add '9' to each side of the equation. -9 + 9 + 3y = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 3y = 12 + 9 3y = 12 + 9 Combine like terms: 12 + 9 = 21 3y = 21 Divide each side by '3'. y = 7 Simplifying y = 7
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