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Simplifying -4y + -1(5y + 6) = -7 + -1y + 3 Reorder the terms: -4y + -1(6 + 5y) = -7 + -1y + 3 -4y + (6 * -1 + 5y * -1) = -7 + -1y + 3 -4y + (-6 + -5y) = -7 + -1y + 3 Reorder the terms: -6 + -4y + -5y = -7 + -1y + 3 Combine like terms: -4y + -5y = -9y -6 + -9y = -7 + -1y + 3 Reorder the terms: -6 + -9y = -7 + 3 + -1y Combine like terms: -7 + 3 = -4 -6 + -9y = -4 + -1y Solving -6 + -9y = -4 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -6 + -9y + y = -4 + -1y + y Combine like terms: -9y + y = -8y -6 + -8y = -4 + -1y + y Combine like terms: -1y + y = 0 -6 + -8y = -4 + 0 -6 + -8y = -4 Add '6' to each side of the equation. -6 + 6 + -8y = -4 + 6 Combine like terms: -6 + 6 = 0 0 + -8y = -4 + 6 -8y = -4 + 6 Combine like terms: -4 + 6 = 2 -8y = 2 Divide each side by '-8'. y = -0.25 Simplifying y = -0.25
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