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Simplifying -4(2y + 3) + -5(y + -1) = 6 Reorder the terms: -4(3 + 2y) + -5(y + -1) = 6 (3 * -4 + 2y * -4) + -5(y + -1) = 6 (-12 + -8y) + -5(y + -1) = 6 Reorder the terms: -12 + -8y + -5(-1 + y) = 6 -12 + -8y + (-1 * -5 + y * -5) = 6 -12 + -8y + (5 + -5y) = 6 Reorder the terms: -12 + 5 + -8y + -5y = 6 Combine like terms: -12 + 5 = -7 -7 + -8y + -5y = 6 Combine like terms: -8y + -5y = -13y -7 + -13y = 6 Solving -7 + -13y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -13y = 6 + 7 Combine like terms: -7 + 7 = 0 0 + -13y = 6 + 7 -13y = 6 + 7 Combine like terms: 6 + 7 = 13 -13y = 13 Divide each side by '-13'. y = -1 Simplifying y = -1
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