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Simplifying 2(y + -8) + -6 = -4(-3y + 6) + -6y Reorder the terms: 2(-8 + y) + -6 = -4(-3y + 6) + -6y (-8 * 2 + y * 2) + -6 = -4(-3y + 6) + -6y (-16 + 2y) + -6 = -4(-3y + 6) + -6y Reorder the terms: -16 + -6 + 2y = -4(-3y + 6) + -6y Combine like terms: -16 + -6 = -22 -22 + 2y = -4(-3y + 6) + -6y Reorder the terms: -22 + 2y = -4(6 + -3y) + -6y -22 + 2y = (6 * -4 + -3y * -4) + -6y -22 + 2y = (-24 + 12y) + -6y Combine like terms: 12y + -6y = 6y -22 + 2y = -24 + 6y Solving -22 + 2y = -24 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -22 + 2y + -6y = -24 + 6y + -6y Combine like terms: 2y + -6y = -4y -22 + -4y = -24 + 6y + -6y Combine like terms: 6y + -6y = 0 -22 + -4y = -24 + 0 -22 + -4y = -24 Add '22' to each side of the equation. -22 + 22 + -4y = -24 + 22 Combine like terms: -22 + 22 = 0 0 + -4y = -24 + 22 -4y = -24 + 22 Combine like terms: -24 + 22 = -2 -4y = -2 Divide each side by '-4'. y = 0.5 Simplifying y = 0.5
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