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Simplifying -6(-1y + 5) + 7(3y + 1) = -5(y + -2) Reorder the terms: -6(5 + -1y) + 7(3y + 1) = -5(y + -2) (5 * -6 + -1y * -6) + 7(3y + 1) = -5(y + -2) (-30 + 6y) + 7(3y + 1) = -5(y + -2) Reorder the terms: -30 + 6y + 7(1 + 3y) = -5(y + -2) -30 + 6y + (1 * 7 + 3y * 7) = -5(y + -2) -30 + 6y + (7 + 21y) = -5(y + -2) Reorder the terms: -30 + 7 + 6y + 21y = -5(y + -2) Combine like terms: -30 + 7 = -23 -23 + 6y + 21y = -5(y + -2) Combine like terms: 6y + 21y = 27y -23 + 27y = -5(y + -2) Reorder the terms: -23 + 27y = -5(-2 + y) -23 + 27y = (-2 * -5 + y * -5) -23 + 27y = (10 + -5y) Solving -23 + 27y = 10 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -23 + 27y + 5y = 10 + -5y + 5y Combine like terms: 27y + 5y = 32y -23 + 32y = 10 + -5y + 5y Combine like terms: -5y + 5y = 0 -23 + 32y = 10 + 0 -23 + 32y = 10 Add '23' to each side of the equation. -23 + 23 + 32y = 10 + 23 Combine like terms: -23 + 23 = 0 0 + 32y = 10 + 23 32y = 10 + 23 Combine like terms: 10 + 23 = 33 32y = 33 Divide each side by '32'. y = 1.03125 Simplifying y = 1.03125
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