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Simplifying 10y + -12 = 2y + 52 Reorder the terms: -12 + 10y = 2y + 52 Reorder the terms: -12 + 10y = 52 + 2y Solving -12 + 10y = 52 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -12 + 10y + -2y = 52 + 2y + -2y Combine like terms: 10y + -2y = 8y -12 + 8y = 52 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + 8y = 52 + 0 -12 + 8y = 52 Add '12' to each side of the equation. -12 + 12 + 8y = 52 + 12 Combine like terms: -12 + 12 = 0 0 + 8y = 52 + 12 8y = 52 + 12 Combine like terms: 52 + 12 = 64 8y = 64 Divide each side by '8'. y = 8 Simplifying y = 8
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