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Simplifying 34(y + -2) = 26(y + 2) Reorder the terms: 34(-2 + y) = 26(y + 2) (-2 * 34 + y * 34) = 26(y + 2) (-68 + 34y) = 26(y + 2) Reorder the terms: -68 + 34y = 26(2 + y) -68 + 34y = (2 * 26 + y * 26) -68 + 34y = (52 + 26y) Solving -68 + 34y = 52 + 26y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-26y' to each side of the equation. -68 + 34y + -26y = 52 + 26y + -26y Combine like terms: 34y + -26y = 8y -68 + 8y = 52 + 26y + -26y Combine like terms: 26y + -26y = 0 -68 + 8y = 52 + 0 -68 + 8y = 52 Add '68' to each side of the equation. -68 + 68 + 8y = 52 + 68 Combine like terms: -68 + 68 = 0 0 + 8y = 52 + 68 8y = 52 + 68 Combine like terms: 52 + 68 = 120 8y = 120 Divide each side by '8'. y = 15 Simplifying y = 15
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