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Simplifying 2(y + -8) + -6 = -4(-7y + 2) + -8y Reorder the terms: 2(-8 + y) + -6 = -4(-7y + 2) + -8y (-8 * 2 + y * 2) + -6 = -4(-7y + 2) + -8y (-16 + 2y) + -6 = -4(-7y + 2) + -8y Reorder the terms: -16 + -6 + 2y = -4(-7y + 2) + -8y Combine like terms: -16 + -6 = -22 -22 + 2y = -4(-7y + 2) + -8y Reorder the terms: -22 + 2y = -4(2 + -7y) + -8y -22 + 2y = (2 * -4 + -7y * -4) + -8y -22 + 2y = (-8 + 28y) + -8y Combine like terms: 28y + -8y = 20y -22 + 2y = -8 + 20y Solving -22 + 2y = -8 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -22 + 2y + -20y = -8 + 20y + -20y Combine like terms: 2y + -20y = -18y -22 + -18y = -8 + 20y + -20y Combine like terms: 20y + -20y = 0 -22 + -18y = -8 + 0 -22 + -18y = -8 Add '22' to each side of the equation. -22 + 22 + -18y = -8 + 22 Combine like terms: -22 + 22 = 0 0 + -18y = -8 + 22 -18y = -8 + 22 Combine like terms: -8 + 22 = 14 -18y = 14 Divide each side by '-18'. y = -0.7777777778 Simplifying y = -0.7777777778
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