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Simplifying -5y + -3(8y + 4) = -7 + 9(-2 + -1y) Reorder the terms: -5y + -3(4 + 8y) = -7 + 9(-2 + -1y) -5y + (4 * -3 + 8y * -3) = -7 + 9(-2 + -1y) -5y + (-12 + -24y) = -7 + 9(-2 + -1y) Reorder the terms: -12 + -5y + -24y = -7 + 9(-2 + -1y) Combine like terms: -5y + -24y = -29y -12 + -29y = -7 + 9(-2 + -1y) -12 + -29y = -7 + (-2 * 9 + -1y * 9) -12 + -29y = -7 + (-18 + -9y) Combine like terms: -7 + -18 = -25 -12 + -29y = -25 + -9y Solving -12 + -29y = -25 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -12 + -29y + 9y = -25 + -9y + 9y Combine like terms: -29y + 9y = -20y -12 + -20y = -25 + -9y + 9y Combine like terms: -9y + 9y = 0 -12 + -20y = -25 + 0 -12 + -20y = -25 Add '12' to each side of the equation. -12 + 12 + -20y = -25 + 12 Combine like terms: -12 + 12 = 0 0 + -20y = -25 + 12 -20y = -25 + 12 Combine like terms: -25 + 12 = -13 -20y = -13 Divide each side by '-20'. y = 0.65 Simplifying y = 0.65
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