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Simplifying 37 + 13y = 2(-4y + -13) Reorder the terms: 37 + 13y = 2(-13 + -4y) 37 + 13y = (-13 * 2 + -4y * 2) 37 + 13y = (-26 + -8y) Solving 37 + 13y = -26 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 37 + 13y + 8y = -26 + -8y + 8y Combine like terms: 13y + 8y = 21y 37 + 21y = -26 + -8y + 8y Combine like terms: -8y + 8y = 0 37 + 21y = -26 + 0 37 + 21y = -26 Add '-37' to each side of the equation. 37 + -37 + 21y = -26 + -37 Combine like terms: 37 + -37 = 0 0 + 21y = -26 + -37 21y = -26 + -37 Combine like terms: -26 + -37 = -63 21y = -63 Divide each side by '21'. y = -3 Simplifying y = -3
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