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Simplifying 8y + -4 + 3(y + 7) = 6y + -3(y + -5) Reorder the terms: 8y + -4 + 3(7 + y) = 6y + -3(y + -5) 8y + -4 + (7 * 3 + y * 3) = 6y + -3(y + -5) 8y + -4 + (21 + 3y) = 6y + -3(y + -5) Reorder the terms: -4 + 21 + 8y + 3y = 6y + -3(y + -5) Combine like terms: -4 + 21 = 17 17 + 8y + 3y = 6y + -3(y + -5) Combine like terms: 8y + 3y = 11y 17 + 11y = 6y + -3(y + -5) Reorder the terms: 17 + 11y = 6y + -3(-5 + y) 17 + 11y = 6y + (-5 * -3 + y * -3) 17 + 11y = 6y + (15 + -3y) Reorder the terms: 17 + 11y = 15 + 6y + -3y Combine like terms: 6y + -3y = 3y 17 + 11y = 15 + 3y Solving 17 + 11y = 15 + 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. 17 + 11y + -3y = 15 + 3y + -3y Combine like terms: 11y + -3y = 8y 17 + 8y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 17 + 8y = 15 + 0 17 + 8y = 15 Add '-17' to each side of the equation. 17 + -17 + 8y = 15 + -17 Combine like terms: 17 + -17 = 0 0 + 8y = 15 + -17 8y = 15 + -17 Combine like terms: 15 + -17 = -2 8y = -2 Divide each side by '8'. y = -0.25 Simplifying y = -0.25
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