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Simplifying -2 + 10y + 6 = 4(2y + -2) + -4 Reorder the terms: -2 + 6 + 10y = 4(2y + -2) + -4 Combine like terms: -2 + 6 = 4 4 + 10y = 4(2y + -2) + -4 Reorder the terms: 4 + 10y = 4(-2 + 2y) + -4 4 + 10y = (-2 * 4 + 2y * 4) + -4 4 + 10y = (-8 + 8y) + -4 Reorder the terms: 4 + 10y = -8 + -4 + 8y Combine like terms: -8 + -4 = -12 4 + 10y = -12 + 8y Solving 4 + 10y = -12 + 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 + 10y + -8y = -12 + 8y + -8y Combine like terms: 10y + -8y = 2y 4 + 2y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 4 + 2y = -12 + 0 4 + 2y = -12 Add '-4' to each side of the equation. 4 + -4 + 2y = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 2y = -12 + -4 2y = -12 + -4 Combine like terms: -12 + -4 = -16 2y = -16 Divide each side by '2'. y = -8 Simplifying y = -8
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