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Simplifying 10y + -20 = 2(4y + -6) Reorder the terms: -20 + 10y = 2(4y + -6) Reorder the terms: -20 + 10y = 2(-6 + 4y) -20 + 10y = (-6 * 2 + 4y * 2) -20 + 10y = (-12 + 8y) Solving -20 + 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. -20 + 10y + -8y = -12 + 8y + -8y Combine like terms: 10y + -8y = 2y -20 + 2y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 -20 + 2y = -12 + 0 -20 + 2y = -12 Add '20' to each side of the equation. -20 + 20 + 2y = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 2y = -12 + 20 2y = -12 + 20 Combine like terms: -12 + 20 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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