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Simplifying -5(2y + -1) + 2y = 7(y + 2) Reorder the terms: -5(-1 + 2y) + 2y = 7(y + 2) (-1 * -5 + 2y * -5) + 2y = 7(y + 2) (5 + -10y) + 2y = 7(y + 2) Combine like terms: -10y + 2y = -8y 5 + -8y = 7(y + 2) Reorder the terms: 5 + -8y = 7(2 + y) 5 + -8y = (2 * 7 + y * 7) 5 + -8y = (14 + 7y) Solving 5 + -8y = 14 + 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. 5 + -8y + -7y = 14 + 7y + -7y Combine like terms: -8y + -7y = -15y 5 + -15y = 14 + 7y + -7y Combine like terms: 7y + -7y = 0 5 + -15y = 14 + 0 5 + -15y = 14 Add '-5' to each side of the equation. 5 + -5 + -15y = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -15y = 14 + -5 -15y = 14 + -5 Combine like terms: 14 + -5 = 9 -15y = 9 Divide each side by '-15'. y = -0.6 Simplifying y = -0.6
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