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Simplifying -2y + -7(4y + 6) = 5 + -7(-4 + -1y) Reorder the terms: -2y + -7(6 + 4y) = 5 + -7(-4 + -1y) -2y + (6 * -7 + 4y * -7) = 5 + -7(-4 + -1y) -2y + (-42 + -28y) = 5 + -7(-4 + -1y) Reorder the terms: -42 + -2y + -28y = 5 + -7(-4 + -1y) Combine like terms: -2y + -28y = -30y -42 + -30y = 5 + -7(-4 + -1y) -42 + -30y = 5 + (-4 * -7 + -1y * -7) -42 + -30y = 5 + (28 + 7y) Combine like terms: 5 + 28 = 33 -42 + -30y = 33 + 7y Solving -42 + -30y = 33 + 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. -42 + -30y + -7y = 33 + 7y + -7y Combine like terms: -30y + -7y = -37y -42 + -37y = 33 + 7y + -7y Combine like terms: 7y + -7y = 0 -42 + -37y = 33 + 0 -42 + -37y = 33 Add '42' to each side of the equation. -42 + 42 + -37y = 33 + 42 Combine like terms: -42 + 42 = 0 0 + -37y = 33 + 42 -37y = 33 + 42 Combine like terms: 33 + 42 = 75 -37y = 75 Divide each side by '-37'. y = -2.027027027 Simplifying y = -2.027027027
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