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Simplifying 2y + -4(3y + 5) = 2 + 2(y + -5) Reorder the terms: 2y + -4(5 + 3y) = 2 + 2(y + -5) 2y + (5 * -4 + 3y * -4) = 2 + 2(y + -5) 2y + (-20 + -12y) = 2 + 2(y + -5) Reorder the terms: -20 + 2y + -12y = 2 + 2(y + -5) Combine like terms: 2y + -12y = -10y -20 + -10y = 2 + 2(y + -5) Reorder the terms: -20 + -10y = 2 + 2(-5 + y) -20 + -10y = 2 + (-5 * 2 + y * 2) -20 + -10y = 2 + (-10 + 2y) Combine like terms: 2 + -10 = -8 -20 + -10y = -8 + 2y Solving -20 + -10y = -8 + 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. -20 + -10y + -2y = -8 + 2y + -2y Combine like terms: -10y + -2y = -12y -20 + -12y = -8 + 2y + -2y Combine like terms: 2y + -2y = 0 -20 + -12y = -8 + 0 -20 + -12y = -8 Add '20' to each side of the equation. -20 + 20 + -12y = -8 + 20 Combine like terms: -20 + 20 = 0 0 + -12y = -8 + 20 -12y = -8 + 20 Combine like terms: -8 + 20 = 12 -12y = 12 Divide each side by '-12'. y = -1 Simplifying y = -1
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