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Simplifying 5y + 19 + 2(3 + -4y) = 7y + -12 5y + 19 + (3 * 2 + -4y * 2) = 7y + -12 5y + 19 + (6 + -8y) = 7y + -12 Reorder the terms: 19 + 6 + 5y + -8y = 7y + -12 Combine like terms: 19 + 6 = 25 25 + 5y + -8y = 7y + -12 Combine like terms: 5y + -8y = -3y 25 + -3y = 7y + -12 Reorder the terms: 25 + -3y = -12 + 7y Solving 25 + -3y = -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. 25 + -3y + -7y = -12 + 7y + -7y Combine like terms: -3y + -7y = -10y 25 + -10y = -12 + 7y + -7y Combine like terms: 7y + -7y = 0 25 + -10y = -12 + 0 25 + -10y = -12 Add '-25' to each side of the equation. 25 + -25 + -10y = -12 + -25 Combine like terms: 25 + -25 = 0 0 + -10y = -12 + -25 -10y = -12 + -25 Combine like terms: -12 + -25 = -37 -10y = -37 Divide each side by '-10'. y = 3.7 Simplifying y = 3.7
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