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Simplifying 7y + -12 = 2(5y + 6) Reorder the terms: -12 + 7y = 2(5y + 6) Reorder the terms: -12 + 7y = 2(6 + 5y) -12 + 7y = (6 * 2 + 5y * 2) -12 + 7y = (12 + 10y) Solving -12 + 7y = 12 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -12 + 7y + -10y = 12 + 10y + -10y Combine like terms: 7y + -10y = -3y -12 + -3y = 12 + 10y + -10y Combine like terms: 10y + -10y = 0 -12 + -3y = 12 + 0 -12 + -3y = 12 Add '12' to each side of the equation. -12 + 12 + -3y = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -3y = 12 + 12 -3y = 12 + 12 Combine like terms: 12 + 12 = 24 -3y = 24 Divide each side by '-3'. y = -8 Simplifying y = -8
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