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Simplifying -3y + -9 = 4y + 40 Reorder the terms: -9 + -3y = 4y + 40 Reorder the terms: -9 + -3y = 40 + 4y Solving -9 + -3y = 40 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -9 + -3y + -4y = 40 + 4y + -4y Combine like terms: -3y + -4y = -7y -9 + -7y = 40 + 4y + -4y Combine like terms: 4y + -4y = 0 -9 + -7y = 40 + 0 -9 + -7y = 40 Add '9' to each side of the equation. -9 + 9 + -7y = 40 + 9 Combine like terms: -9 + 9 = 0 0 + -7y = 40 + 9 -7y = 40 + 9 Combine like terms: 40 + 9 = 49 -7y = 49 Divide each side by '-7'. y = -7 Simplifying y = -7
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