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Simplifying 9(16y + -4) = 36(3y + -5) Reorder the terms: 9(-4 + 16y) = 36(3y + -5) (-4 * 9 + 16y * 9) = 36(3y + -5) (-36 + 144y) = 36(3y + -5) Reorder the terms: -36 + 144y = 36(-5 + 3y) -36 + 144y = (-5 * 36 + 3y * 36) -36 + 144y = (-180 + 108y) Solving -36 + 144y = -180 + 108y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-108y' to each side of the equation. -36 + 144y + -108y = -180 + 108y + -108y Combine like terms: 144y + -108y = 36y -36 + 36y = -180 + 108y + -108y Combine like terms: 108y + -108y = 0 -36 + 36y = -180 + 0 -36 + 36y = -180 Add '36' to each side of the equation. -36 + 36 + 36y = -180 + 36 Combine like terms: -36 + 36 = 0 0 + 36y = -180 + 36 36y = -180 + 36 Combine like terms: -180 + 36 = -144 36y = -144 Divide each side by '36'. y = -4 Simplifying y = -4
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