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Simplifying -1(31y + 15) + -20y + -36 = -1(-38y + -19) + -1(20y + -12) Reorder the terms: -1(15 + 31y) + -20y + -36 = -1(-38y + -19) + -1(20y + -12) (15 * -1 + 31y * -1) + -20y + -36 = -1(-38y + -19) + -1(20y + -12) (-15 + -31y) + -20y + -36 = -1(-38y + -19) + -1(20y + -12) Reorder the terms: -15 + -36 + -31y + -20y = -1(-38y + -19) + -1(20y + -12) Combine like terms: -15 + -36 = -51 -51 + -31y + -20y = -1(-38y + -19) + -1(20y + -12) Combine like terms: -31y + -20y = -51y -51 + -51y = -1(-38y + -19) + -1(20y + -12) Reorder the terms: -51 + -51y = -1(-19 + -38y) + -1(20y + -12) -51 + -51y = (-19 * -1 + -38y * -1) + -1(20y + -12) -51 + -51y = (19 + 38y) + -1(20y + -12) Reorder the terms: -51 + -51y = 19 + 38y + -1(-12 + 20y) -51 + -51y = 19 + 38y + (-12 * -1 + 20y * -1) -51 + -51y = 19 + 38y + (12 + -20y) Reorder the terms: -51 + -51y = 19 + 12 + 38y + -20y Combine like terms: 19 + 12 = 31 -51 + -51y = 31 + 38y + -20y Combine like terms: 38y + -20y = 18y -51 + -51y = 31 + 18y Solving -51 + -51y = 31 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -51 + -51y + -18y = 31 + 18y + -18y Combine like terms: -51y + -18y = -69y -51 + -69y = 31 + 18y + -18y Combine like terms: 18y + -18y = 0 -51 + -69y = 31 + 0 -51 + -69y = 31 Add '51' to each side of the equation. -51 + 51 + -69y = 31 + 51 Combine like terms: -51 + 51 = 0 0 + -69y = 31 + 51 -69y = 31 + 51 Combine like terms: 31 + 51 = 82 -69y = 82 Divide each side by '-69'. y = -1.188405797 Simplifying y = -1.188405797
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