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Simplifying 7y + -5 + 2(2y + 1) = -3(y + 7) Reorder the terms: 7y + -5 + 2(1 + 2y) = -3(y + 7) 7y + -5 + (1 * 2 + 2y * 2) = -3(y + 7) 7y + -5 + (2 + 4y) = -3(y + 7) Reorder the terms: -5 + 2 + 7y + 4y = -3(y + 7) Combine like terms: -5 + 2 = -3 -3 + 7y + 4y = -3(y + 7) Combine like terms: 7y + 4y = 11y -3 + 11y = -3(y + 7) Reorder the terms: -3 + 11y = -3(7 + y) -3 + 11y = (7 * -3 + y * -3) -3 + 11y = (-21 + -3y) Solving -3 + 11y = -21 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -3 + 11y + 3y = -21 + -3y + 3y Combine like terms: 11y + 3y = 14y -3 + 14y = -21 + -3y + 3y Combine like terms: -3y + 3y = 0 -3 + 14y = -21 + 0 -3 + 14y = -21 Add '3' to each side of the equation. -3 + 3 + 14y = -21 + 3 Combine like terms: -3 + 3 = 0 0 + 14y = -21 + 3 14y = -21 + 3 Combine like terms: -21 + 3 = -18 14y = -18 Divide each side by '14'. y = -1.285714286 Simplifying y = -1.285714286
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