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Simplifying -4(y + 1) = 2(4y + -2) + -84 Reorder the terms: -4(1 + y) = 2(4y + -2) + -84 (1 * -4 + y * -4) = 2(4y + -2) + -84 (-4 + -4y) = 2(4y + -2) + -84 Reorder the terms: -4 + -4y = 2(-2 + 4y) + -84 -4 + -4y = (-2 * 2 + 4y * 2) + -84 -4 + -4y = (-4 + 8y) + -84 Reorder the terms: -4 + -4y = -4 + -84 + 8y Combine like terms: -4 + -84 = -88 -4 + -4y = -88 + 8y Solving -4 + -4y = -88 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -4 + -4y + -8y = -88 + 8y + -8y Combine like terms: -4y + -8y = -12y -4 + -12y = -88 + 8y + -8y Combine like terms: 8y + -8y = 0 -4 + -12y = -88 + 0 -4 + -12y = -88 Add '4' to each side of the equation. -4 + 4 + -12y = -88 + 4 Combine like terms: -4 + 4 = 0 0 + -12y = -88 + 4 -12y = -88 + 4 Combine like terms: -88 + 4 = -84 -12y = -84 Divide each side by '-12'. y = 7 Simplifying y = 7
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