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Simplifying 2(y + -3) + -2 = -2(-8y + 8) + -8y Reorder the terms: 2(-3 + y) + -2 = -2(-8y + 8) + -8y (-3 * 2 + y * 2) + -2 = -2(-8y + 8) + -8y (-6 + 2y) + -2 = -2(-8y + 8) + -8y Reorder the terms: -6 + -2 + 2y = -2(-8y + 8) + -8y Combine like terms: -6 + -2 = -8 -8 + 2y = -2(-8y + 8) + -8y Reorder the terms: -8 + 2y = -2(8 + -8y) + -8y -8 + 2y = (8 * -2 + -8y * -2) + -8y -8 + 2y = (-16 + 16y) + -8y Combine like terms: 16y + -8y = 8y -8 + 2y = -16 + 8y Solving -8 + 2y = -16 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -8 + 2y + -8y = -16 + 8y + -8y Combine like terms: 2y + -8y = -6y -8 + -6y = -16 + 8y + -8y Combine like terms: 8y + -8y = 0 -8 + -6y = -16 + 0 -8 + -6y = -16 Add '8' to each side of the equation. -8 + 8 + -6y = -16 + 8 Combine like terms: -8 + 8 = 0 0 + -6y = -16 + 8 -6y = -16 + 8 Combine like terms: -16 + 8 = -8 -6y = -8 Divide each side by '-6'. y = 1.333333333 Simplifying y = 1.333333333
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