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Simplifying 7(y + -7) + 4y = -2(y + 5) Reorder the terms: 7(-7 + y) + 4y = -2(y + 5) (-7 * 7 + y * 7) + 4y = -2(y + 5) (-49 + 7y) + 4y = -2(y + 5) Combine like terms: 7y + 4y = 11y -49 + 11y = -2(y + 5) Reorder the terms: -49 + 11y = -2(5 + y) -49 + 11y = (5 * -2 + y * -2) -49 + 11y = (-10 + -2y) Solving -49 + 11y = -10 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -49 + 11y + 2y = -10 + -2y + 2y Combine like terms: 11y + 2y = 13y -49 + 13y = -10 + -2y + 2y Combine like terms: -2y + 2y = 0 -49 + 13y = -10 + 0 -49 + 13y = -10 Add '49' to each side of the equation. -49 + 49 + 13y = -10 + 49 Combine like terms: -49 + 49 = 0 0 + 13y = -10 + 49 13y = -10 + 49 Combine like terms: -10 + 49 = 39 13y = 39 Divide each side by '13'. y = 3 Simplifying y = 3
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