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Simplifying -4(2y + -10) + -1y = -2(y + -2) Reorder the terms: -4(-10 + 2y) + -1y = -2(y + -2) (-10 * -4 + 2y * -4) + -1y = -2(y + -2) (40 + -8y) + -1y = -2(y + -2) Combine like terms: -8y + -1y = -9y 40 + -9y = -2(y + -2) Reorder the terms: 40 + -9y = -2(-2 + y) 40 + -9y = (-2 * -2 + y * -2) 40 + -9y = (4 + -2y) Solving 40 + -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. 40 + -9y + 2y = 4 + -2y + 2y Combine like terms: -9y + 2y = -7y 40 + -7y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 40 + -7y = 4 + 0 40 + -7y = 4 Add '-40' to each side of the equation. 40 + -40 + -7y = 4 + -40 Combine like terms: 40 + -40 = 0 0 + -7y = 4 + -40 -7y = 4 + -40 Combine like terms: 4 + -40 = -36 -7y = -36 Divide each side by '-7'. y = 5.142857143 Simplifying y = 5.142857143
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