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Simplifying -2(-2y + 5) + -8y = 5(y + -3) + -7 Reorder the terms: -2(5 + -2y) + -8y = 5(y + -3) + -7 (5 * -2 + -2y * -2) + -8y = 5(y + -3) + -7 (-10 + 4y) + -8y = 5(y + -3) + -7 Combine like terms: 4y + -8y = -4y -10 + -4y = 5(y + -3) + -7 Reorder the terms: -10 + -4y = 5(-3 + y) + -7 -10 + -4y = (-3 * 5 + y * 5) + -7 -10 + -4y = (-15 + 5y) + -7 Reorder the terms: -10 + -4y = -15 + -7 + 5y Combine like terms: -15 + -7 = -22 -10 + -4y = -22 + 5y Solving -10 + -4y = -22 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -10 + -4y + -5y = -22 + 5y + -5y Combine like terms: -4y + -5y = -9y -10 + -9y = -22 + 5y + -5y Combine like terms: 5y + -5y = 0 -10 + -9y = -22 + 0 -10 + -9y = -22 Add '10' to each side of the equation. -10 + 10 + -9y = -22 + 10 Combine like terms: -10 + 10 = 0 0 + -9y = -22 + 10 -9y = -22 + 10 Combine like terms: -22 + 10 = -12 -9y = -12 Divide each side by '-9'. y = 1.333333333 Simplifying y = 1.333333333
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