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Simplifying 8y + 4 + 3(y + 7) = 6y + -3(y + -3) Reorder the terms: 8y + 4 + 3(7 + y) = 6y + -3(y + -3) 8y + 4 + (7 * 3 + y * 3) = 6y + -3(y + -3) 8y + 4 + (21 + 3y) = 6y + -3(y + -3) Reorder the terms: 4 + 21 + 8y + 3y = 6y + -3(y + -3) Combine like terms: 4 + 21 = 25 25 + 8y + 3y = 6y + -3(y + -3) Combine like terms: 8y + 3y = 11y 25 + 11y = 6y + -3(y + -3) Reorder the terms: 25 + 11y = 6y + -3(-3 + y) 25 + 11y = 6y + (-3 * -3 + y * -3) 25 + 11y = 6y + (9 + -3y) Reorder the terms: 25 + 11y = 9 + 6y + -3y Combine like terms: 6y + -3y = 3y 25 + 11y = 9 + 3y Solving 25 + 11y = 9 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 25 + 11y + -3y = 9 + 3y + -3y Combine like terms: 11y + -3y = 8y 25 + 8y = 9 + 3y + -3y Combine like terms: 3y + -3y = 0 25 + 8y = 9 + 0 25 + 8y = 9 Add '-25' to each side of the equation. 25 + -25 + 8y = 9 + -25 Combine like terms: 25 + -25 = 0 0 + 8y = 9 + -25 8y = 9 + -25 Combine like terms: 9 + -25 = -16 8y = -16 Divide each side by '8'. y = -2 Simplifying y = -2
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