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Simplifying 8y + -5(y + 3) = 3(7y + -1) Reorder the terms: 8y + -5(3 + y) = 3(7y + -1) 8y + (3 * -5 + y * -5) = 3(7y + -1) 8y + (-15 + -5y) = 3(7y + -1) Reorder the terms: -15 + 8y + -5y = 3(7y + -1) Combine like terms: 8y + -5y = 3y -15 + 3y = 3(7y + -1) Reorder the terms: -15 + 3y = 3(-1 + 7y) -15 + 3y = (-1 * 3 + 7y * 3) -15 + 3y = (-3 + 21y) Solving -15 + 3y = -3 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. -15 + 3y + -21y = -3 + 21y + -21y Combine like terms: 3y + -21y = -18y -15 + -18y = -3 + 21y + -21y Combine like terms: 21y + -21y = 0 -15 + -18y = -3 + 0 -15 + -18y = -3 Add '15' to each side of the equation. -15 + 15 + -18y = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -18y = -3 + 15 -18y = -3 + 15 Combine like terms: -3 + 15 = 12 -18y = 12 Divide each side by '-18'. y = -0.6666666667 Simplifying y = -0.6666666667
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