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Simplifying -3(-4y + 5) + -4y = 2(y + -3) + -5 Reorder the terms: -3(5 + -4y) + -4y = 2(y + -3) + -5 (5 * -3 + -4y * -3) + -4y = 2(y + -3) + -5 (-15 + 12y) + -4y = 2(y + -3) + -5 Combine like terms: 12y + -4y = 8y -15 + 8y = 2(y + -3) + -5 Reorder the terms: -15 + 8y = 2(-3 + y) + -5 -15 + 8y = (-3 * 2 + y * 2) + -5 -15 + 8y = (-6 + 2y) + -5 Reorder the terms: -15 + 8y = -6 + -5 + 2y Combine like terms: -6 + -5 = -11 -15 + 8y = -11 + 2y Solving -15 + 8y = -11 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -15 + 8y + -2y = -11 + 2y + -2y Combine like terms: 8y + -2y = 6y -15 + 6y = -11 + 2y + -2y Combine like terms: 2y + -2y = 0 -15 + 6y = -11 + 0 -15 + 6y = -11 Add '15' to each side of the equation. -15 + 15 + 6y = -11 + 15 Combine like terms: -15 + 15 = 0 0 + 6y = -11 + 15 6y = -11 + 15 Combine like terms: -11 + 15 = 4 6y = 4 Divide each side by '6'. y = 0.6666666667 Simplifying y = 0.6666666667
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