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Simplifying 9(2y + -4) + -2(7y + -12) = -48 Reorder the terms: 9(-4 + 2y) + -2(7y + -12) = -48 (-4 * 9 + 2y * 9) + -2(7y + -12) = -48 (-36 + 18y) + -2(7y + -12) = -48 Reorder the terms: -36 + 18y + -2(-12 + 7y) = -48 -36 + 18y + (-12 * -2 + 7y * -2) = -48 -36 + 18y + (24 + -14y) = -48 Reorder the terms: -36 + 24 + 18y + -14y = -48 Combine like terms: -36 + 24 = -12 -12 + 18y + -14y = -48 Combine like terms: 18y + -14y = 4y -12 + 4y = -48 Solving -12 + 4y = -48 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4y = -48 + 12 Combine like terms: -12 + 12 = 0 0 + 4y = -48 + 12 4y = -48 + 12 Combine like terms: -48 + 12 = -36 4y = -36 Divide each side by '4'. y = -9 Simplifying y = -9
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