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Simplifying 11(y + -2) = 13(y + 4) Reorder the terms: 11(-2 + y) = 13(y + 4) (-2 * 11 + y * 11) = 13(y + 4) (-22 + 11y) = 13(y + 4) Reorder the terms: -22 + 11y = 13(4 + y) -22 + 11y = (4 * 13 + y * 13) -22 + 11y = (52 + 13y) Solving -22 + 11y = 52 + 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. -22 + 11y + -13y = 52 + 13y + -13y Combine like terms: 11y + -13y = -2y -22 + -2y = 52 + 13y + -13y Combine like terms: 13y + -13y = 0 -22 + -2y = 52 + 0 -22 + -2y = 52 Add '22' to each side of the equation. -22 + 22 + -2y = 52 + 22 Combine like terms: -22 + 22 = 0 0 + -2y = 52 + 22 -2y = 52 + 22 Combine like terms: 52 + 22 = 74 -2y = 74 Divide each side by '-2'. y = -37 Simplifying y = -37
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