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Simplifying 2(y + -3) = 6y + 8 + -2(-2y + -2) Reorder the terms: 2(-3 + y) = 6y + 8 + -2(-2y + -2) (-3 * 2 + y * 2) = 6y + 8 + -2(-2y + -2) (-6 + 2y) = 6y + 8 + -2(-2y + -2) Reorder the terms: -6 + 2y = 6y + 8 + -2(-2 + -2y) -6 + 2y = 6y + 8 + (-2 * -2 + -2y * -2) -6 + 2y = 6y + 8 + (4 + 4y) Reorder the terms: -6 + 2y = 8 + 4 + 6y + 4y Combine like terms: 8 + 4 = 12 -6 + 2y = 12 + 6y + 4y Combine like terms: 6y + 4y = 10y -6 + 2y = 12 + 10y Solving -6 + 2y = 12 + 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. -6 + 2y + -10y = 12 + 10y + -10y Combine like terms: 2y + -10y = -8y -6 + -8y = 12 + 10y + -10y Combine like terms: 10y + -10y = 0 -6 + -8y = 12 + 0 -6 + -8y = 12 Add '6' to each side of the equation. -6 + 6 + -8y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -8y = 12 + 6 -8y = 12 + 6 Combine like terms: 12 + 6 = 18 -8y = 18 Divide each side by '-8'. y = -2.25 Simplifying y = -2.25
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