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Simplifying 5y + 9 = 7(y + -3) Reorder the terms: 9 + 5y = 7(y + -3) Reorder the terms: 9 + 5y = 7(-3 + y) 9 + 5y = (-3 * 7 + y * 7) 9 + 5y = (-21 + 7y) Solving 9 + 5y = -21 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 9 + 5y + -7y = -21 + 7y + -7y Combine like terms: 5y + -7y = -2y 9 + -2y = -21 + 7y + -7y Combine like terms: 7y + -7y = 0 9 + -2y = -21 + 0 9 + -2y = -21 Add '-9' to each side of the equation. 9 + -9 + -2y = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -2y = -21 + -9 -2y = -21 + -9 Combine like terms: -21 + -9 = -30 -2y = -30 Divide each side by '-2'. y = 15 Simplifying y = 15
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