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Simplifying 6(y + -2) + -8 = -5(-2y + 2) + -8y Reorder the terms: 6(-2 + y) + -8 = -5(-2y + 2) + -8y (-2 * 6 + y * 6) + -8 = -5(-2y + 2) + -8y (-12 + 6y) + -8 = -5(-2y + 2) + -8y Reorder the terms: -12 + -8 + 6y = -5(-2y + 2) + -8y Combine like terms: -12 + -8 = -20 -20 + 6y = -5(-2y + 2) + -8y Reorder the terms: -20 + 6y = -5(2 + -2y) + -8y -20 + 6y = (2 * -5 + -2y * -5) + -8y -20 + 6y = (-10 + 10y) + -8y Combine like terms: 10y + -8y = 2y -20 + 6y = -10 + 2y Solving -20 + 6y = -10 + 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 + 6y + -2y = -10 + 2y + -2y Combine like terms: 6y + -2y = 4y -20 + 4y = -10 + 2y + -2y Combine like terms: 2y + -2y = 0 -20 + 4y = -10 + 0 -20 + 4y = -10 Add '20' to each side of the equation. -20 + 20 + 4y = -10 + 20 Combine like terms: -20 + 20 = 0 0 + 4y = -10 + 20 4y = -10 + 20 Combine like terms: -10 + 20 = 10 4y = 10 Divide each side by '4'. y = 2.5 Simplifying y = 2.5
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