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Simplifying 7(6 + -4y) + 5(2y + 4) = 4x + 7 (6 * 7 + -4y * 7) + 5(2y + 4) = 4x + 7 (42 + -28y) + 5(2y + 4) = 4x + 7 Reorder the terms: 42 + -28y + 5(4 + 2y) = 4x + 7 42 + -28y + (4 * 5 + 2y * 5) = 4x + 7 42 + -28y + (20 + 10y) = 4x + 7 Reorder the terms: 42 + 20 + -28y + 10y = 4x + 7 Combine like terms: 42 + 20 = 62 62 + -28y + 10y = 4x + 7 Combine like terms: -28y + 10y = -18y 62 + -18y = 4x + 7 Reorder the terms: 62 + -18y = 7 + 4x Solving 62 + -18y = 7 + 4x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + -18y = 7 + -62 + 4x Combine like terms: 62 + -62 = 0 0 + -18y = 7 + -62 + 4x -18y = 7 + -62 + 4x Combine like terms: 7 + -62 = -55 -18y = -55 + 4x Divide each side by '-18'. y = 3.055555556 + -0.2222222222x Simplifying y = 3.055555556 + -0.2222222222x
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