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Simplifying 7(y + 3) = -3(5y + -5) + 4y Reorder the terms: 7(3 + y) = -3(5y + -5) + 4y (3 * 7 + y * 7) = -3(5y + -5) + 4y (21 + 7y) = -3(5y + -5) + 4y Reorder the terms: 21 + 7y = -3(-5 + 5y) + 4y 21 + 7y = (-5 * -3 + 5y * -3) + 4y 21 + 7y = (15 + -15y) + 4y Combine like terms: -15y + 4y = -11y 21 + 7y = 15 + -11y Solving 21 + 7y = 15 + -11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11y' to each side of the equation. 21 + 7y + 11y = 15 + -11y + 11y Combine like terms: 7y + 11y = 18y 21 + 18y = 15 + -11y + 11y Combine like terms: -11y + 11y = 0 21 + 18y = 15 + 0 21 + 18y = 15 Add '-21' to each side of the equation. 21 + -21 + 18y = 15 + -21 Combine like terms: 21 + -21 = 0 0 + 18y = 15 + -21 18y = 15 + -21 Combine like terms: 15 + -21 = -6 18y = -6 Divide each side by '18'. y = -0.3333333333 Simplifying y = -0.3333333333
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