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Simplifying 5(3y + 1) = 2(13y + -3) Reorder the terms: 5(1 + 3y) = 2(13y + -3) (1 * 5 + 3y * 5) = 2(13y + -3) (5 + 15y) = 2(13y + -3) Reorder the terms: 5 + 15y = 2(-3 + 13y) 5 + 15y = (-3 * 2 + 13y * 2) 5 + 15y = (-6 + 26y) Solving 5 + 15y = -6 + 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. 5 + 15y + -26y = -6 + 26y + -26y Combine like terms: 15y + -26y = -11y 5 + -11y = -6 + 26y + -26y Combine like terms: 26y + -26y = 0 5 + -11y = -6 + 0 5 + -11y = -6 Add '-5' to each side of the equation. 5 + -5 + -11y = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -11y = -6 + -5 -11y = -6 + -5 Combine like terms: -6 + -5 = -11 -11y = -11 Divide each side by '-11'. y = 1 Simplifying y = 1
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