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Simplifying 4 + -3(2y + 1) + -9 = 2y + -12 Reorder the terms: 4 + -3(1 + 2y) + -9 = 2y + -12 4 + (1 * -3 + 2y * -3) + -9 = 2y + -12 4 + (-3 + -6y) + -9 = 2y + -12 Reorder the terms: 4 + -3 + -9 + -6y = 2y + -12 Combine like terms: 4 + -3 = 1 1 + -9 + -6y = 2y + -12 Combine like terms: 1 + -9 = -8 -8 + -6y = 2y + -12 Reorder the terms: -8 + -6y = -12 + 2y Solving -8 + -6y = -12 + 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. -8 + -6y + -2y = -12 + 2y + -2y Combine like terms: -6y + -2y = -8y -8 + -8y = -12 + 2y + -2y Combine like terms: 2y + -2y = 0 -8 + -8y = -12 + 0 -8 + -8y = -12 Add '8' to each side of the equation. -8 + 8 + -8y = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -8y = -12 + 8 -8y = -12 + 8 Combine like terms: -12 + 8 = -4 -8y = -4 Divide each side by '-8'. y = 0.5 Simplifying y = 0.5
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