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Simplifying 6(y + -5) + -7 = -5(-5y + 9) + -1y Reorder the terms: 6(-5 + y) + -7 = -5(-5y + 9) + -1y (-5 * 6 + y * 6) + -7 = -5(-5y + 9) + -1y (-30 + 6y) + -7 = -5(-5y + 9) + -1y Reorder the terms: -30 + -7 + 6y = -5(-5y + 9) + -1y Combine like terms: -30 + -7 = -37 -37 + 6y = -5(-5y + 9) + -1y Reorder the terms: -37 + 6y = -5(9 + -5y) + -1y -37 + 6y = (9 * -5 + -5y * -5) + -1y -37 + 6y = (-45 + 25y) + -1y Combine like terms: 25y + -1y = 24y -37 + 6y = -45 + 24y Solving -37 + 6y = -45 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -37 + 6y + -24y = -45 + 24y + -24y Combine like terms: 6y + -24y = -18y -37 + -18y = -45 + 24y + -24y Combine like terms: 24y + -24y = 0 -37 + -18y = -45 + 0 -37 + -18y = -45 Add '37' to each side of the equation. -37 + 37 + -18y = -45 + 37 Combine like terms: -37 + 37 = 0 0 + -18y = -45 + 37 -18y = -45 + 37 Combine like terms: -45 + 37 = -8 -18y = -8 Divide each side by '-18'. y = 0.4444444444 Simplifying y = 0.4444444444
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