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Simplifying 3(7y + -11) = 13(y + -3) Reorder the terms: 3(-11 + 7y) = 13(y + -3) (-11 * 3 + 7y * 3) = 13(y + -3) (-33 + 21y) = 13(y + -3) Reorder the terms: -33 + 21y = 13(-3 + y) -33 + 21y = (-3 * 13 + y * 13) -33 + 21y = (-39 + 13y) Solving -33 + 21y = -39 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -33 + 21y + -13y = -39 + 13y + -13y Combine like terms: 21y + -13y = 8y -33 + 8y = -39 + 13y + -13y Combine like terms: 13y + -13y = 0 -33 + 8y = -39 + 0 -33 + 8y = -39 Add '33' to each side of the equation. -33 + 33 + 8y = -39 + 33 Combine like terms: -33 + 33 = 0 0 + 8y = -39 + 33 8y = -39 + 33 Combine like terms: -39 + 33 = -6 8y = -6 Divide each side by '8'. y = -0.75 Simplifying y = -0.75
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