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Simplifying 2(y + -50) = 4(3y + -5) Reorder the terms: 2(-50 + y) = 4(3y + -5) (-50 * 2 + y * 2) = 4(3y + -5) (-100 + 2y) = 4(3y + -5) Reorder the terms: -100 + 2y = 4(-5 + 3y) -100 + 2y = (-5 * 4 + 3y * 4) -100 + 2y = (-20 + 12y) Solving -100 + 2y = -20 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -100 + 2y + -12y = -20 + 12y + -12y Combine like terms: 2y + -12y = -10y -100 + -10y = -20 + 12y + -12y Combine like terms: 12y + -12y = 0 -100 + -10y = -20 + 0 -100 + -10y = -20 Add '100' to each side of the equation. -100 + 100 + -10y = -20 + 100 Combine like terms: -100 + 100 = 0 0 + -10y = -20 + 100 -10y = -20 + 100 Combine like terms: -20 + 100 = 80 -10y = 80 Divide each side by '-10'. y = -8 Simplifying y = -8
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