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Simplifying 2(y + -3) = y + 6 + -2(-8y + -3) Reorder the terms: 2(-3 + y) = y + 6 + -2(-8y + -3) (-3 * 2 + y * 2) = y + 6 + -2(-8y + -3) (-6 + 2y) = y + 6 + -2(-8y + -3) Reorder the terms: -6 + 2y = y + 6 + -2(-3 + -8y) -6 + 2y = y + 6 + (-3 * -2 + -8y * -2) -6 + 2y = y + 6 + (6 + 16y) Reorder the terms: -6 + 2y = 6 + 6 + y + 16y Combine like terms: 6 + 6 = 12 -6 + 2y = 12 + y + 16y Combine like terms: y + 16y = 17y -6 + 2y = 12 + 17y Solving -6 + 2y = 12 + 17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17y' to each side of the equation. -6 + 2y + -17y = 12 + 17y + -17y Combine like terms: 2y + -17y = -15y -6 + -15y = 12 + 17y + -17y Combine like terms: 17y + -17y = 0 -6 + -15y = 12 + 0 -6 + -15y = 12 Add '6' to each side of the equation. -6 + 6 + -15y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -15y = 12 + 6 -15y = 12 + 6 Combine like terms: 12 + 6 = 18 -15y = 18 Divide each side by '-15'. y = -1.2 Simplifying y = -1.2
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