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