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Simplifying 2y + -3(y + -4) = 2(y + -5) + -11 Reorder the terms: 2y + -3(-4 + y) = 2(y + -5) + -11 2y + (-4 * -3 + y * -3) = 2(y + -5) + -11 2y + (12 + -3y) = 2(y + -5) + -11 Reorder the terms: 12 + 2y + -3y = 2(y + -5) + -11 Combine like terms: 2y + -3y = -1y 12 + -1y = 2(y + -5) + -11 Reorder the terms: 12 + -1y = 2(-5 + y) + -11 12 + -1y = (-5 * 2 + y * 2) + -11 12 + -1y = (-10 + 2y) + -11 Reorder the terms: 12 + -1y = -10 + -11 + 2y Combine like terms: -10 + -11 = -21 12 + -1y = -21 + 2y Solving 12 + -1y = -21 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 12 + -1y + -2y = -21 + 2y + -2y Combine like terms: -1y + -2y = -3y 12 + -3y = -21 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + -3y = -21 + 0 12 + -3y = -21 Add '-12' to each side of the equation. 12 + -12 + -3y = -21 + -12 Combine like terms: 12 + -12 = 0 0 + -3y = -21 + -12 -3y = -21 + -12 Combine like terms: -21 + -12 = -33 -3y = -33 Divide each side by '-3'. y = 11 Simplifying y = 11
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