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Simplifying 8y + -6(y + -2) = 3(2y + 7) Reorder the terms: 8y + -6(-2 + y) = 3(2y + 7) 8y + (-2 * -6 + y * -6) = 3(2y + 7) 8y + (12 + -6y) = 3(2y + 7) Reorder the terms: 12 + 8y + -6y = 3(2y + 7) Combine like terms: 8y + -6y = 2y 12 + 2y = 3(2y + 7) Reorder the terms: 12 + 2y = 3(7 + 2y) 12 + 2y = (7 * 3 + 2y * 3) 12 + 2y = (21 + 6y) Solving 12 + 2y = 21 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 12 + 2y + -6y = 21 + 6y + -6y Combine like terms: 2y + -6y = -4y 12 + -4y = 21 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + -4y = 21 + 0 12 + -4y = 21 Add '-12' to each side of the equation. 12 + -12 + -4y = 21 + -12 Combine like terms: 12 + -12 = 0 0 + -4y = 21 + -12 -4y = 21 + -12 Combine like terms: 21 + -12 = 9 -4y = 9 Divide each side by '-4'. y = -2.25 Simplifying y = -2.25
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