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Simplifying 3(2y + -15) = -1(y + -6) Reorder the terms: 3(-15 + 2y) = -1(y + -6) (-15 * 3 + 2y * 3) = -1(y + -6) (-45 + 6y) = -1(y + -6) Reorder the terms: -45 + 6y = -1(-6 + y) -45 + 6y = (-6 * -1 + y * -1) -45 + 6y = (6 + -1y) Solving -45 + 6y = 6 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -45 + 6y + y = 6 + -1y + y Combine like terms: 6y + y = 7y -45 + 7y = 6 + -1y + y Combine like terms: -1y + y = 0 -45 + 7y = 6 + 0 -45 + 7y = 6 Add '45' to each side of the equation. -45 + 45 + 7y = 6 + 45 Combine like terms: -45 + 45 = 0 0 + 7y = 6 + 45 7y = 6 + 45 Combine like terms: 6 + 45 = 51 7y = 51 Divide each side by '7'. y = 7.285714286 Simplifying y = 7.285714286
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