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Simplifying -7(2y + 11) + -2y = 13 Reorder the terms: -7(11 + 2y) + -2y = 13 (11 * -7 + 2y * -7) + -2y = 13 (-77 + -14y) + -2y = 13 Combine like terms: -14y + -2y = -16y -77 + -16y = 13 Solving -77 + -16y = 13 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + -16y = 13 + 77 Combine like terms: -77 + 77 = 0 0 + -16y = 13 + 77 -16y = 13 + 77 Combine like terms: 13 + 77 = 90 -16y = 90 Divide each side by '-16'. y = -5.625 Simplifying y = -5.625
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