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Simplifying -4y + -1(5y + 6) = 7y + 3 Reorder the terms: -4y + -1(6 + 5y) = 7y + 3 -4y + (6 * -1 + 5y * -1) = 7y + 3 -4y + (-6 + -5y) = 7y + 3 Reorder the terms: -6 + -4y + -5y = 7y + 3 Combine like terms: -4y + -5y = -9y -6 + -9y = 7y + 3 Reorder the terms: -6 + -9y = 3 + 7y Solving -6 + -9y = 3 + 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. -6 + -9y + -7y = 3 + 7y + -7y Combine like terms: -9y + -7y = -16y -6 + -16y = 3 + 7y + -7y Combine like terms: 7y + -7y = 0 -6 + -16y = 3 + 0 -6 + -16y = 3 Add '6' to each side of the equation. -6 + 6 + -16y = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -16y = 3 + 6 -16y = 3 + 6 Combine like terms: 3 + 6 = 9 -16y = 9 Divide each side by '-16'. y = -0.5625 Simplifying y = -0.5625
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