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Simplifying -3(4y + -5) = -7(-5 + -2y) Reorder the terms: -3(-5 + 4y) = -7(-5 + -2y) (-5 * -3 + 4y * -3) = -7(-5 + -2y) (15 + -12y) = -7(-5 + -2y) 15 + -12y = (-5 * -7 + -2y * -7) 15 + -12y = (35 + 14y) Solving 15 + -12y = 35 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 15 + -12y + -14y = 35 + 14y + -14y Combine like terms: -12y + -14y = -26y 15 + -26y = 35 + 14y + -14y Combine like terms: 14y + -14y = 0 15 + -26y = 35 + 0 15 + -26y = 35 Add '-15' to each side of the equation. 15 + -15 + -26y = 35 + -15 Combine like terms: 15 + -15 = 0 0 + -26y = 35 + -15 -26y = 35 + -15 Combine like terms: 35 + -15 = 20 -26y = 20 Divide each side by '-26'. y = -0.7692307692 Simplifying y = -0.7692307692
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