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Simplifying -3(2y + 1) + -11 = -4(y + 7) + 2x Reorder the terms: -3(1 + 2y) + -11 = -4(y + 7) + 2x (1 * -3 + 2y * -3) + -11 = -4(y + 7) + 2x (-3 + -6y) + -11 = -4(y + 7) + 2x Reorder the terms: -3 + -11 + -6y = -4(y + 7) + 2x Combine like terms: -3 + -11 = -14 -14 + -6y = -4(y + 7) + 2x Reorder the terms: -14 + -6y = -4(7 + y) + 2x -14 + -6y = (7 * -4 + y * -4) + 2x -14 + -6y = (-28 + -4y) + 2x Reorder the terms: -14 + -6y = -28 + 2x + -4y Solving -14 + -6y = -28 + 2x + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -14 + -6y + 4y = -28 + 2x + -4y + 4y Combine like terms: -6y + 4y = -2y -14 + -2y = -28 + 2x + -4y + 4y Combine like terms: -4y + 4y = 0 -14 + -2y = -28 + 2x + 0 -14 + -2y = -28 + 2x Add '14' to each side of the equation. -14 + 14 + -2y = -28 + 14 + 2x Combine like terms: -14 + 14 = 0 0 + -2y = -28 + 14 + 2x -2y = -28 + 14 + 2x Combine like terms: -28 + 14 = -14 -2y = -14 + 2x Divide each side by '-2'. y = 7 + -1x Simplifying y = 7 + -1x
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