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Simplifying 7 + 2y = 7(x + 1) + -6(x + 18) Reorder the terms: 7 + 2y = 7(1 + x) + -6(x + 18) 7 + 2y = (1 * 7 + x * 7) + -6(x + 18) 7 + 2y = (7 + 7x) + -6(x + 18) Reorder the terms: 7 + 2y = 7 + 7x + -6(18 + x) 7 + 2y = 7 + 7x + (18 * -6 + x * -6) 7 + 2y = 7 + 7x + (-108 + -6x) Reorder the terms: 7 + 2y = 7 + -108 + 7x + -6x Combine like terms: 7 + -108 = -101 7 + 2y = -101 + 7x + -6x Combine like terms: 7x + -6x = 1x 7 + 2y = -101 + 1x Solving 7 + 2y = -101 + 1x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2y = -101 + -7 + 1x Combine like terms: 7 + -7 = 0 0 + 2y = -101 + -7 + 1x 2y = -101 + -7 + 1x Combine like terms: -101 + -7 = -108 2y = -108 + 1x Divide each side by '2'. y = -54 + 0.5x Simplifying y = -54 + 0.5x
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