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Simplifying 3(y + -2) + -4 = -3(-4y + 2) + -1y Reorder the terms: 3(-2 + y) + -4 = -3(-4y + 2) + -1y (-2 * 3 + y * 3) + -4 = -3(-4y + 2) + -1y (-6 + 3y) + -4 = -3(-4y + 2) + -1y Reorder the terms: -6 + -4 + 3y = -3(-4y + 2) + -1y Combine like terms: -6 + -4 = -10 -10 + 3y = -3(-4y + 2) + -1y Reorder the terms: -10 + 3y = -3(2 + -4y) + -1y -10 + 3y = (2 * -3 + -4y * -3) + -1y -10 + 3y = (-6 + 12y) + -1y Combine like terms: 12y + -1y = 11y -10 + 3y = -6 + 11y Solving -10 + 3y = -6 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -10 + 3y + -11y = -6 + 11y + -11y Combine like terms: 3y + -11y = -8y -10 + -8y = -6 + 11y + -11y Combine like terms: 11y + -11y = 0 -10 + -8y = -6 + 0 -10 + -8y = -6 Add '10' to each side of the equation. -10 + 10 + -8y = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -8y = -6 + 10 -8y = -6 + 10 Combine like terms: -6 + 10 = 4 -8y = 4 Divide each side by '-8'. y = -0.5 Simplifying y = -0.5
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