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Simplifying -2y + -40 = 2(5y + 4) Reorder the terms: -40 + -2y = 2(5y + 4) Reorder the terms: -40 + -2y = 2(4 + 5y) -40 + -2y = (4 * 2 + 5y * 2) -40 + -2y = (8 + 10y) Solving -40 + -2y = 8 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -40 + -2y + -10y = 8 + 10y + -10y Combine like terms: -2y + -10y = -12y -40 + -12y = 8 + 10y + -10y Combine like terms: 10y + -10y = 0 -40 + -12y = 8 + 0 -40 + -12y = 8 Add '40' to each side of the equation. -40 + 40 + -12y = 8 + 40 Combine like terms: -40 + 40 = 0 0 + -12y = 8 + 40 -12y = 8 + 40 Combine like terms: 8 + 40 = 48 -12y = 48 Divide each side by '-12'. y = -4 Simplifying y = -4
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