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Simplifying 4y + -9 = -105 + -4(9y + 6) Reorder the terms: -9 + 4y = -105 + -4(9y + 6) Reorder the terms: -9 + 4y = -105 + -4(6 + 9y) -9 + 4y = -105 + (6 * -4 + 9y * -4) -9 + 4y = -105 + (-24 + -36y) Combine like terms: -105 + -24 = -129 -9 + 4y = -129 + -36y Solving -9 + 4y = -129 + -36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36y' to each side of the equation. -9 + 4y + 36y = -129 + -36y + 36y Combine like terms: 4y + 36y = 40y -9 + 40y = -129 + -36y + 36y Combine like terms: -36y + 36y = 0 -9 + 40y = -129 + 0 -9 + 40y = -129 Add '9' to each side of the equation. -9 + 9 + 40y = -129 + 9 Combine like terms: -9 + 9 = 0 0 + 40y = -129 + 9 40y = -129 + 9 Combine like terms: -129 + 9 = -120 40y = -120 Divide each side by '40'. y = -3 Simplifying y = -3
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