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Simplifying 7(y + 3) = -2(2y + -3) + 5y Reorder the terms: 7(3 + y) = -2(2y + -3) + 5y (3 * 7 + y * 7) = -2(2y + -3) + 5y (21 + 7y) = -2(2y + -3) + 5y Reorder the terms: 21 + 7y = -2(-3 + 2y) + 5y 21 + 7y = (-3 * -2 + 2y * -2) + 5y 21 + 7y = (6 + -4y) + 5y Combine like terms: -4y + 5y = 1y 21 + 7y = 6 + 1y Solving 21 + 7y = 6 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 21 + 7y + -1y = 6 + 1y + -1y Combine like terms: 7y + -1y = 6y 21 + 6y = 6 + 1y + -1y Combine like terms: 1y + -1y = 0 21 + 6y = 6 + 0 21 + 6y = 6 Add '-21' to each side of the equation. 21 + -21 + 6y = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 6y = 6 + -21 6y = 6 + -21 Combine like terms: 6 + -21 = -15 6y = -15 Divide each side by '6'. y = -2.5 Simplifying y = -2.5
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