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Simplifying -2(4y + -10) + -1y = -2(y + -2) Reorder the terms: -2(-10 + 4y) + -1y = -2(y + -2) (-10 * -2 + 4y * -2) + -1y = -2(y + -2) (20 + -8y) + -1y = -2(y + -2) Combine like terms: -8y + -1y = -9y 20 + -9y = -2(y + -2) Reorder the terms: 20 + -9y = -2(-2 + y) 20 + -9y = (-2 * -2 + y * -2) 20 + -9y = (4 + -2y) Solving 20 + -9y = 4 + -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. 20 + -9y + 2y = 4 + -2y + 2y Combine like terms: -9y + 2y = -7y 20 + -7y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 20 + -7y = 4 + 0 20 + -7y = 4 Add '-20' to each side of the equation. 20 + -20 + -7y = 4 + -20 Combine like terms: 20 + -20 = 0 0 + -7y = 4 + -20 -7y = 4 + -20 Combine like terms: 4 + -20 = -16 -7y = -16 Divide each side by '-7'. y = 2.285714286 Simplifying y = 2.285714286
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