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Simplifying 4(y + -4) + -8 = -6(-3y + 2) + -6y Reorder the terms: 4(-4 + y) + -8 = -6(-3y + 2) + -6y (-4 * 4 + y * 4) + -8 = -6(-3y + 2) + -6y (-16 + 4y) + -8 = -6(-3y + 2) + -6y Reorder the terms: -16 + -8 + 4y = -6(-3y + 2) + -6y Combine like terms: -16 + -8 = -24 -24 + 4y = -6(-3y + 2) + -6y Reorder the terms: -24 + 4y = -6(2 + -3y) + -6y -24 + 4y = (2 * -6 + -3y * -6) + -6y -24 + 4y = (-12 + 18y) + -6y Combine like terms: 18y + -6y = 12y -24 + 4y = -12 + 12y Solving -24 + 4y = -12 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -24 + 4y + -12y = -12 + 12y + -12y Combine like terms: 4y + -12y = -8y -24 + -8y = -12 + 12y + -12y Combine like terms: 12y + -12y = 0 -24 + -8y = -12 + 0 -24 + -8y = -12 Add '24' to each side of the equation. -24 + 24 + -8y = -12 + 24 Combine like terms: -24 + 24 = 0 0 + -8y = -12 + 24 -8y = -12 + 24 Combine like terms: -12 + 24 = 12 -8y = 12 Divide each side by '-8'. y = -1.5 Simplifying y = -1.5
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