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Simplifying -32 + 6(3y + 4) = -1(-5y + 38) + 3x Reorder the terms: -32 + 6(4 + 3y) = -1(-5y + 38) + 3x -32 + (4 * 6 + 3y * 6) = -1(-5y + 38) + 3x -32 + (24 + 18y) = -1(-5y + 38) + 3x Combine like terms: -32 + 24 = -8 -8 + 18y = -1(-5y + 38) + 3x Reorder the terms: -8 + 18y = -1(38 + -5y) + 3x -8 + 18y = (38 * -1 + -5y * -1) + 3x -8 + 18y = (-38 + 5y) + 3x Reorder the terms: -8 + 18y = -38 + 3x + 5y Solving -8 + 18y = -38 + 3x + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -8 + 18y + -5y = -38 + 3x + 5y + -5y Combine like terms: 18y + -5y = 13y -8 + 13y = -38 + 3x + 5y + -5y Combine like terms: 5y + -5y = 0 -8 + 13y = -38 + 3x + 0 -8 + 13y = -38 + 3x Add '8' to each side of the equation. -8 + 8 + 13y = -38 + 8 + 3x Combine like terms: -8 + 8 = 0 0 + 13y = -38 + 8 + 3x 13y = -38 + 8 + 3x Combine like terms: -38 + 8 = -30 13y = -30 + 3x Divide each side by '13'. y = -2.307692308 + 0.2307692308x Simplifying y = -2.307692308 + 0.2307692308x
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