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Simplifying -3(y + 1) + 7y = 4(x + 1) + -7 Reorder the terms: -3(1 + y) + 7y = 4(x + 1) + -7 (1 * -3 + y * -3) + 7y = 4(x + 1) + -7 (-3 + -3y) + 7y = 4(x + 1) + -7 Combine like terms: -3y + 7y = 4y -3 + 4y = 4(x + 1) + -7 Reorder the terms: -3 + 4y = 4(1 + x) + -7 -3 + 4y = (1 * 4 + x * 4) + -7 -3 + 4y = (4 + 4x) + -7 Reorder the terms: -3 + 4y = 4 + -7 + 4x Combine like terms: 4 + -7 = -3 -3 + 4y = -3 + 4x Add '3' to each side of the equation. -3 + 3 + 4y = -3 + 3 + 4x Combine like terms: -3 + 3 = 0 0 + 4y = -3 + 3 + 4x 4y = -3 + 3 + 4x Combine like terms: -3 + 3 = 0 4y = 0 + 4x 4y = 4x Solving 4y = 4x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '4'. y = x Simplifying y = x
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