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Simplifying 6(y + -2) = 5(2y + 1) Reorder the terms: 6(-2 + y) = 5(2y + 1) (-2 * 6 + y * 6) = 5(2y + 1) (-12 + 6y) = 5(2y + 1) Reorder the terms: -12 + 6y = 5(1 + 2y) -12 + 6y = (1 * 5 + 2y * 5) -12 + 6y = (5 + 10y) Solving -12 + 6y = 5 + 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. -12 + 6y + -10y = 5 + 10y + -10y Combine like terms: 6y + -10y = -4y -12 + -4y = 5 + 10y + -10y Combine like terms: 10y + -10y = 0 -12 + -4y = 5 + 0 -12 + -4y = 5 Add '12' to each side of the equation. -12 + 12 + -4y = 5 + 12 Combine like terms: -12 + 12 = 0 0 + -4y = 5 + 12 -4y = 5 + 12 Combine like terms: 5 + 12 = 17 -4y = 17 Divide each side by '-4'. y = -4.25 Simplifying y = -4.25
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