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Simplifying 13 + -3(5 + 2y) = 2(7 + -1y) 13 + (5 * -3 + 2y * -3) = 2(7 + -1y) 13 + (-15 + -6y) = 2(7 + -1y) Combine like terms: 13 + -15 = -2 -2 + -6y = 2(7 + -1y) -2 + -6y = (7 * 2 + -1y * 2) -2 + -6y = (14 + -2y) Solving -2 + -6y = 14 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -2 + -6y + 2y = 14 + -2y + 2y Combine like terms: -6y + 2y = -4y -2 + -4y = 14 + -2y + 2y Combine like terms: -2y + 2y = 0 -2 + -4y = 14 + 0 -2 + -4y = 14 Add '2' to each side of the equation. -2 + 2 + -4y = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -4y = 14 + 2 -4y = 14 + 2 Combine like terms: 14 + 2 = 16 -4y = 16 Divide each side by '-4'. y = -4 Simplifying y = -4
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