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Simplifying 4y + -9(9y + 82) = 32 Reorder the terms: 4y + -9(82 + 9y) = 32 4y + (82 * -9 + 9y * -9) = 32 4y + (-738 + -81y) = 32 Reorder the terms: -738 + 4y + -81y = 32 Combine like terms: 4y + -81y = -77y -738 + -77y = 32 Solving -738 + -77y = 32 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '738' to each side of the equation. -738 + 738 + -77y = 32 + 738 Combine like terms: -738 + 738 = 0 0 + -77y = 32 + 738 -77y = 32 + 738 Combine like terms: 32 + 738 = 770 -77y = 770 Divide each side by '-77'. y = -10 Simplifying y = -10
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