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Simplifying 7y + -29 = 5(y + -3) Reorder the terms: -29 + 7y = 5(y + -3) Reorder the terms: -29 + 7y = 5(-3 + y) -29 + 7y = (-3 * 5 + y * 5) -29 + 7y = (-15 + 5y) Solving -29 + 7y = -15 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -29 + 7y + -5y = -15 + 5y + -5y Combine like terms: 7y + -5y = 2y -29 + 2y = -15 + 5y + -5y Combine like terms: 5y + -5y = 0 -29 + 2y = -15 + 0 -29 + 2y = -15 Add '29' to each side of the equation. -29 + 29 + 2y = -15 + 29 Combine like terms: -29 + 29 = 0 0 + 2y = -15 + 29 2y = -15 + 29 Combine like terms: -15 + 29 = 14 2y = 14 Divide each side by '2'. y = 7 Simplifying y = 7
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