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Simplifying -4 + 10y + 12 = 4(2y + -4) + 6 Reorder the terms: -4 + 12 + 10y = 4(2y + -4) + 6 Combine like terms: -4 + 12 = 8 8 + 10y = 4(2y + -4) + 6 Reorder the terms: 8 + 10y = 4(-4 + 2y) + 6 8 + 10y = (-4 * 4 + 2y * 4) + 6 8 + 10y = (-16 + 8y) + 6 Reorder the terms: 8 + 10y = -16 + 6 + 8y Combine like terms: -16 + 6 = -10 8 + 10y = -10 + 8y Solving 8 + 10y = -10 + 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. 8 + 10y + -8y = -10 + 8y + -8y Combine like terms: 10y + -8y = 2y 8 + 2y = -10 + 8y + -8y Combine like terms: 8y + -8y = 0 8 + 2y = -10 + 0 8 + 2y = -10 Add '-8' to each side of the equation. 8 + -8 + 2y = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 2y = -10 + -8 2y = -10 + -8 Combine like terms: -10 + -8 = -18 2y = -18 Divide each side by '2'. y = -9 Simplifying y = -9
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