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Simplifying -2y + -18 + 8y + -12 = -4y + 10 Reorder the terms: -18 + -12 + -2y + 8y = -4y + 10 Combine like terms: -18 + -12 = -30 -30 + -2y + 8y = -4y + 10 Combine like terms: -2y + 8y = 6y -30 + 6y = -4y + 10 Reorder the terms: -30 + 6y = 10 + -4y Solving -30 + 6y = 10 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -30 + 6y + 4y = 10 + -4y + 4y Combine like terms: 6y + 4y = 10y -30 + 10y = 10 + -4y + 4y Combine like terms: -4y + 4y = 0 -30 + 10y = 10 + 0 -30 + 10y = 10 Add '30' to each side of the equation. -30 + 30 + 10y = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 10y = 10 + 30 10y = 10 + 30 Combine like terms: 10 + 30 = 40 10y = 40 Divide each side by '10'. y = 4 Simplifying y = 4
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