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Simplifying 9(5y + -3) + -7(7y + -4) = y Reorder the terms: 9(-3 + 5y) + -7(7y + -4) = y (-3 * 9 + 5y * 9) + -7(7y + -4) = y (-27 + 45y) + -7(7y + -4) = y Reorder the terms: -27 + 45y + -7(-4 + 7y) = y -27 + 45y + (-4 * -7 + 7y * -7) = y -27 + 45y + (28 + -49y) = y Reorder the terms: -27 + 28 + 45y + -49y = y Combine like terms: -27 + 28 = 1 1 + 45y + -49y = y Combine like terms: 45y + -49y = -4y 1 + -4y = y Solving 1 + -4y = y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 1 + -4y + -1y = y + -1y Combine like terms: -4y + -1y = -5y 1 + -5y = y + -1y Combine like terms: y + -1y = 0 1 + -5y = 0 Add '-1' to each side of the equation. 1 + -1 + -5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5y = 0 + -1 -5y = 0 + -1 Combine like terms: 0 + -1 = -1 -5y = -1 Divide each side by '-5'. y = 0.2 Simplifying y = 0.2
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