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Simplifying -4(y + 3) + 2y = 6y + 4 Reorder the terms: -4(3 + y) + 2y = 6y + 4 (3 * -4 + y * -4) + 2y = 6y + 4 (-12 + -4y) + 2y = 6y + 4 Combine like terms: -4y + 2y = -2y -12 + -2y = 6y + 4 Reorder the terms: -12 + -2y = 4 + 6y Solving -12 + -2y = 4 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -12 + -2y + -6y = 4 + 6y + -6y Combine like terms: -2y + -6y = -8y -12 + -8y = 4 + 6y + -6y Combine like terms: 6y + -6y = 0 -12 + -8y = 4 + 0 -12 + -8y = 4 Add '12' to each side of the equation. -12 + 12 + -8y = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -8y = 4 + 12 -8y = 4 + 12 Combine like terms: 4 + 12 = 16 -8y = 16 Divide each side by '-8'. y = -2 Simplifying y = -2
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