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Simplifying 3y + 49 = -7(y + 3) Reorder the terms: 49 + 3y = -7(y + 3) Reorder the terms: 49 + 3y = -7(3 + y) 49 + 3y = (3 * -7 + y * -7) 49 + 3y = (-21 + -7y) Solving 49 + 3y = -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. 49 + 3y + 7y = -21 + -7y + 7y Combine like terms: 3y + 7y = 10y 49 + 10y = -21 + -7y + 7y Combine like terms: -7y + 7y = 0 49 + 10y = -21 + 0 49 + 10y = -21 Add '-49' to each side of the equation. 49 + -49 + 10y = -21 + -49 Combine like terms: 49 + -49 = 0 0 + 10y = -21 + -49 10y = -21 + -49 Combine like terms: -21 + -49 = -70 10y = -70 Divide each side by '10'. y = -7 Simplifying y = -7
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