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Simplifying -4(y + 3) + -1(9 + -8y) = -13 Reorder the terms: -4(3 + y) + -1(9 + -8y) = -13 (3 * -4 + y * -4) + -1(9 + -8y) = -13 (-12 + -4y) + -1(9 + -8y) = -13 -12 + -4y + (9 * -1 + -8y * -1) = -13 -12 + -4y + (-9 + 8y) = -13 Reorder the terms: -12 + -9 + -4y + 8y = -13 Combine like terms: -12 + -9 = -21 -21 + -4y + 8y = -13 Combine like terms: -4y + 8y = 4y -21 + 4y = -13 Solving -21 + 4y = -13 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 4y = -13 + 21 Combine like terms: -21 + 21 = 0 0 + 4y = -13 + 21 4y = -13 + 21 Combine like terms: -13 + 21 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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