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Simplifying 4(y + -3) + -6y = 2(y + 6) Reorder the terms: 4(-3 + y) + -6y = 2(y + 6) (-3 * 4 + y * 4) + -6y = 2(y + 6) (-12 + 4y) + -6y = 2(y + 6) Combine like terms: 4y + -6y = -2y -12 + -2y = 2(y + 6) Reorder the terms: -12 + -2y = 2(6 + y) -12 + -2y = (6 * 2 + y * 2) -12 + -2y = (12 + 2y) Solving -12 + -2y = 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. -12 + -2y + -2y = 12 + 2y + -2y Combine like terms: -2y + -2y = -4y -12 + -4y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + -4y = 12 + 0 -12 + -4y = 12 Add '12' to each side of the equation. -12 + 12 + -4y = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -4y = 12 + 12 -4y = 12 + 12 Combine like terms: 12 + 12 = 24 -4y = 24 Divide each side by '-4'. y = -6 Simplifying y = -6
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