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Simplifying -6y + 5(-2y + 3) = 8 + -7(-7 + -1y) Reorder the terms: -6y + 5(3 + -2y) = 8 + -7(-7 + -1y) -6y + (3 * 5 + -2y * 5) = 8 + -7(-7 + -1y) -6y + (15 + -10y) = 8 + -7(-7 + -1y) Reorder the terms: 15 + -6y + -10y = 8 + -7(-7 + -1y) Combine like terms: -6y + -10y = -16y 15 + -16y = 8 + -7(-7 + -1y) 15 + -16y = 8 + (-7 * -7 + -1y * -7) 15 + -16y = 8 + (49 + 7y) Combine like terms: 8 + 49 = 57 15 + -16y = 57 + 7y Solving 15 + -16y = 57 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 15 + -16y + -7y = 57 + 7y + -7y Combine like terms: -16y + -7y = -23y 15 + -23y = 57 + 7y + -7y Combine like terms: 7y + -7y = 0 15 + -23y = 57 + 0 15 + -23y = 57 Add '-15' to each side of the equation. 15 + -15 + -23y = 57 + -15 Combine like terms: 15 + -15 = 0 0 + -23y = 57 + -15 -23y = 57 + -15 Combine like terms: 57 + -15 = 42 -23y = 42 Divide each side by '-23'. y = -1.826086957 Simplifying y = -1.826086957
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