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Simplifying 12 + -1(5y + 8) = 3(y + -7) + 9 Reorder the terms: 12 + -1(8 + 5y) = 3(y + -7) + 9 12 + (8 * -1 + 5y * -1) = 3(y + -7) + 9 12 + (-8 + -5y) = 3(y + -7) + 9 Combine like terms: 12 + -8 = 4 4 + -5y = 3(y + -7) + 9 Reorder the terms: 4 + -5y = 3(-7 + y) + 9 4 + -5y = (-7 * 3 + y * 3) + 9 4 + -5y = (-21 + 3y) + 9 Reorder the terms: 4 + -5y = -21 + 9 + 3y Combine like terms: -21 + 9 = -12 4 + -5y = -12 + 3y Solving 4 + -5y = -12 + 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. 4 + -5y + -3y = -12 + 3y + -3y Combine like terms: -5y + -3y = -8y 4 + -8y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 4 + -8y = -12 + 0 4 + -8y = -12 Add '-4' to each side of the equation. 4 + -4 + -8y = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -8y = -12 + -4 -8y = -12 + -4 Combine like terms: -12 + -4 = -16 -8y = -16 Divide each side by '-8'. y = 2 Simplifying y = 2
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