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Simplifying 10y + -12 = 2(4y + -3) Reorder the terms: -12 + 10y = 2(4y + -3) Reorder the terms: -12 + 10y = 2(-3 + 4y) -12 + 10y = (-3 * 2 + 4y * 2) -12 + 10y = (-6 + 8y) Solving -12 + 10y = -6 + 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 = -6 + 8y + -8y Combine like terms: 10y + -8y = 2y -12 + 2y = -6 + 8y + -8y Combine like terms: 8y + -8y = 0 -12 + 2y = -6 + 0 -12 + 2y = -6 Add '12' to each side of the equation. -12 + 12 + 2y = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 2y = -6 + 12 2y = -6 + 12 Combine like terms: -6 + 12 = 6 2y = 6 Divide each side by '2'. y = 3 Simplifying y = 3
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