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Simplifying -2 + 3(-6y + -7) = -5(-5y + -1) + 2 Reorder the terms: -2 + 3(-7 + -6y) = -5(-5y + -1) + 2 -2 + (-7 * 3 + -6y * 3) = -5(-5y + -1) + 2 -2 + (-21 + -18y) = -5(-5y + -1) + 2 Combine like terms: -2 + -21 = -23 -23 + -18y = -5(-5y + -1) + 2 Reorder the terms: -23 + -18y = -5(-1 + -5y) + 2 -23 + -18y = (-1 * -5 + -5y * -5) + 2 -23 + -18y = (5 + 25y) + 2 Reorder the terms: -23 + -18y = 5 + 2 + 25y Combine like terms: 5 + 2 = 7 -23 + -18y = 7 + 25y Solving -23 + -18y = 7 + 25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25y' to each side of the equation. -23 + -18y + -25y = 7 + 25y + -25y Combine like terms: -18y + -25y = -43y -23 + -43y = 7 + 25y + -25y Combine like terms: 25y + -25y = 0 -23 + -43y = 7 + 0 -23 + -43y = 7 Add '23' to each side of the equation. -23 + 23 + -43y = 7 + 23 Combine like terms: -23 + 23 = 0 0 + -43y = 7 + 23 -43y = 7 + 23 Combine like terms: 7 + 23 = 30 -43y = 30 Divide each side by '-43'. y = -0.6976744186 Simplifying y = -0.6976744186
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