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Simplifying Y + 2(y + -6) = -2(2y + -14) + 49 Reorder the terms: Y + 2(-6 + y) = -2(2y + -14) + 49 Y + (-6 * 2 + y * 2) = -2(2y + -14) + 49 Y + (-12 + 2y) = -2(2y + -14) + 49 Reorder the terms: -12 + Y + 2y = -2(2y + -14) + 49 Reorder the terms: -12 + Y + 2y = -2(-14 + 2y) + 49 -12 + Y + 2y = (-14 * -2 + 2y * -2) + 49 -12 + Y + 2y = (28 + -4y) + 49 Reorder the terms: -12 + Y + 2y = 28 + 49 + -4y Combine like terms: 28 + 49 = 77 -12 + Y + 2y = 77 + -4y Solving -12 + Y + 2y = 77 + -4y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + Y + 12 + 2y = 77 + 12 + -4y Reorder the terms: -12 + 12 + Y + 2y = 77 + 12 + -4y Combine like terms: -12 + 12 = 0 0 + Y + 2y = 77 + 12 + -4y Y + 2y = 77 + 12 + -4y Combine like terms: 77 + 12 = 89 Y + 2y = 89 + -4y Add '-2y' to each side of the equation. Y + 2y + -2y = 89 + -4y + -2y Combine like terms: 2y + -2y = 0 Y + 0 = 89 + -4y + -2y Y = 89 + -4y + -2y Combine like terms: -4y + -2y = -6y Y = 89 + -6y Simplifying Y = 89 + -6y
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