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Simplifying 4 + 5(3 + -1y) = 4(8 + 2x) 4 + (3 * 5 + -1y * 5) = 4(8 + 2x) 4 + (15 + -5y) = 4(8 + 2x) Combine like terms: 4 + 15 = 19 19 + -5y = 4(8 + 2x) 19 + -5y = (8 * 4 + 2x * 4) 19 + -5y = (32 + 8x) Solving 19 + -5y = 32 + 8x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -5y = 32 + -19 + 8x Combine like terms: 19 + -19 = 0 0 + -5y = 32 + -19 + 8x -5y = 32 + -19 + 8x Combine like terms: 32 + -19 = 13 -5y = 13 + 8x Divide each side by '-5'. y = -2.6 + -1.6x Simplifying y = -2.6 + -1.6x
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