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Simplifying 5(y + -2) = 7y + -12 Reorder the terms: 5(-2 + y) = 7y + -12 (-2 * 5 + y * 5) = 7y + -12 (-10 + 5y) = 7y + -12 Reorder the terms: -10 + 5y = -12 + 7y Solving -10 + 5y = -12 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -10 + 5y + -7y = -12 + 7y + -7y Combine like terms: 5y + -7y = -2y -10 + -2y = -12 + 7y + -7y Combine like terms: 7y + -7y = 0 -10 + -2y = -12 + 0 -10 + -2y = -12 Add '10' to each side of the equation. -10 + 10 + -2y = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -2y = -12 + 10 -2y = -12 + 10 Combine like terms: -12 + 10 = -2 -2y = -2 Divide each side by '-2'. y = 1 Simplifying y = 1
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