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Simplifying 19 + -1(2y + 2) = 2(y + -2) + 3y Reorder the terms: 19 + -1(2 + 2y) = 2(y + -2) + 3y 19 + (2 * -1 + 2y * -1) = 2(y + -2) + 3y 19 + (-2 + -2y) = 2(y + -2) + 3y Combine like terms: 19 + -2 = 17 17 + -2y = 2(y + -2) + 3y Reorder the terms: 17 + -2y = 2(-2 + y) + 3y 17 + -2y = (-2 * 2 + y * 2) + 3y 17 + -2y = (-4 + 2y) + 3y Combine like terms: 2y + 3y = 5y 17 + -2y = -4 + 5y Solving 17 + -2y = -4 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 17 + -2y + -5y = -4 + 5y + -5y Combine like terms: -2y + -5y = -7y 17 + -7y = -4 + 5y + -5y Combine like terms: 5y + -5y = 0 17 + -7y = -4 + 0 17 + -7y = -4 Add '-17' to each side of the equation. 17 + -17 + -7y = -4 + -17 Combine like terms: 17 + -17 = 0 0 + -7y = -4 + -17 -7y = -4 + -17 Combine like terms: -4 + -17 = -21 -7y = -21 Divide each side by '-7'. y = 3 Simplifying y = 3
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