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Simplifying 7(6 + -3y) + 5(2y + 4) = 4x + 9 (6 * 7 + -3y * 7) + 5(2y + 4) = 4x + 9 (42 + -21y) + 5(2y + 4) = 4x + 9 Reorder the terms: 42 + -21y + 5(4 + 2y) = 4x + 9 42 + -21y + (4 * 5 + 2y * 5) = 4x + 9 42 + -21y + (20 + 10y) = 4x + 9 Reorder the terms: 42 + 20 + -21y + 10y = 4x + 9 Combine like terms: 42 + 20 = 62 62 + -21y + 10y = 4x + 9 Combine like terms: -21y + 10y = -11y 62 + -11y = 4x + 9 Reorder the terms: 62 + -11y = 9 + 4x Solving 62 + -11y = 9 + 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 + -11y = 9 + -62 + 4x Combine like terms: 62 + -62 = 0 0 + -11y = 9 + -62 + 4x -11y = 9 + -62 + 4x Combine like terms: 9 + -62 = -53 -11y = -53 + 4x Divide each side by '-11'. y = 4.818181818 + -0.3636363636x Simplifying y = 4.818181818 + -0.3636363636x
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