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Simplifying -6 + 10y + 18 = 4(2y + -6) + -8 Reorder the terms: -6 + 18 + 10y = 4(2y + -6) + -8 Combine like terms: -6 + 18 = 12 12 + 10y = 4(2y + -6) + -8 Reorder the terms: 12 + 10y = 4(-6 + 2y) + -8 12 + 10y = (-6 * 4 + 2y * 4) + -8 12 + 10y = (-24 + 8y) + -8 Reorder the terms: 12 + 10y = -24 + -8 + 8y Combine like terms: -24 + -8 = -32 12 + 10y = -32 + 8y Solving 12 + 10y = -32 + 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. 12 + 10y + -8y = -32 + 8y + -8y Combine like terms: 10y + -8y = 2y 12 + 2y = -32 + 8y + -8y Combine like terms: 8y + -8y = 0 12 + 2y = -32 + 0 12 + 2y = -32 Add '-12' to each side of the equation. 12 + -12 + 2y = -32 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = -32 + -12 2y = -32 + -12 Combine like terms: -32 + -12 = -44 2y = -44 Divide each side by '2'. y = -22 Simplifying y = -22
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