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Simplifying 7(y + 1) = 11(y + -3) Reorder the terms: 7(1 + y) = 11(y + -3) (1 * 7 + y * 7) = 11(y + -3) (7 + 7y) = 11(y + -3) Reorder the terms: 7 + 7y = 11(-3 + y) 7 + 7y = (-3 * 11 + y * 11) 7 + 7y = (-33 + 11y) Solving 7 + 7y = -33 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 7 + 7y + -11y = -33 + 11y + -11y Combine like terms: 7y + -11y = -4y 7 + -4y = -33 + 11y + -11y Combine like terms: 11y + -11y = 0 7 + -4y = -33 + 0 7 + -4y = -33 Add '-7' to each side of the equation. 7 + -7 + -4y = -33 + -7 Combine like terms: 7 + -7 = 0 0 + -4y = -33 + -7 -4y = -33 + -7 Combine like terms: -33 + -7 = -40 -4y = -40 Divide each side by '-4'. y = 10 Simplifying y = 10
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