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Simplifying 5(-3 + -2y) + 11 + -2(6y + -13) = 0 (-3 * 5 + -2y * 5) + 11 + -2(6y + -13) = 0 (-15 + -10y) + 11 + -2(6y + -13) = 0 Reorder the terms: -15 + -10y + 11 + -2(-13 + 6y) = 0 -15 + -10y + 11 + (-13 * -2 + 6y * -2) = 0 -15 + -10y + 11 + (26 + -12y) = 0 Reorder the terms: -15 + 11 + 26 + -10y + -12y = 0 Combine like terms: -15 + 11 = -4 -4 + 26 + -10y + -12y = 0 Combine like terms: -4 + 26 = 22 22 + -10y + -12y = 0 Combine like terms: -10y + -12y = -22y 22 + -22y = 0 Solving 22 + -22y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -22y = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -22y = 0 + -22 -22y = 0 + -22 Combine like terms: 0 + -22 = -22 -22y = -22 Divide each side by '-22'. y = 1 Simplifying y = 1
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