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Simplifying -3(4y + 2) + -6y = -10y + -22 Reorder the terms: -3(2 + 4y) + -6y = -10y + -22 (2 * -3 + 4y * -3) + -6y = -10y + -22 (-6 + -12y) + -6y = -10y + -22 Combine like terms: -12y + -6y = -18y -6 + -18y = -10y + -22 Reorder the terms: -6 + -18y = -22 + -10y Solving -6 + -18y = -22 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -6 + -18y + 10y = -22 + -10y + 10y Combine like terms: -18y + 10y = -8y -6 + -8y = -22 + -10y + 10y Combine like terms: -10y + 10y = 0 -6 + -8y = -22 + 0 -6 + -8y = -22 Add '6' to each side of the equation. -6 + 6 + -8y = -22 + 6 Combine like terms: -6 + 6 = 0 0 + -8y = -22 + 6 -8y = -22 + 6 Combine like terms: -22 + 6 = -16 -8y = -16 Divide each side by '-8'. y = 2 Simplifying y = 2
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