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Simplifying -5y + -3(9y + 7) = -9 + -7(2 + -1y) Reorder the terms: -5y + -3(7 + 9y) = -9 + -7(2 + -1y) -5y + (7 * -3 + 9y * -3) = -9 + -7(2 + -1y) -5y + (-21 + -27y) = -9 + -7(2 + -1y) Reorder the terms: -21 + -5y + -27y = -9 + -7(2 + -1y) Combine like terms: -5y + -27y = -32y -21 + -32y = -9 + -7(2 + -1y) -21 + -32y = -9 + (2 * -7 + -1y * -7) -21 + -32y = -9 + (-14 + 7y) Combine like terms: -9 + -14 = -23 -21 + -32y = -23 + 7y Solving -21 + -32y = -23 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -21 + -32y + -7y = -23 + 7y + -7y Combine like terms: -32y + -7y = -39y -21 + -39y = -23 + 7y + -7y Combine like terms: 7y + -7y = 0 -21 + -39y = -23 + 0 -21 + -39y = -23 Add '21' to each side of the equation. -21 + 21 + -39y = -23 + 21 Combine like terms: -21 + 21 = 0 0 + -39y = -23 + 21 -39y = -23 + 21 Combine like terms: -23 + 21 = -2 -39y = -2 Divide each side by '-39'. y = 0.05128205128 Simplifying y = 0.05128205128
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