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Simplifying 4(y + -3) + -6y = 2(y + 4) Reorder the terms: 4(-3 + y) + -6y = 2(y + 4) (-3 * 4 + y * 4) + -6y = 2(y + 4) (-12 + 4y) + -6y = 2(y + 4) Combine like terms: 4y + -6y = -2y -12 + -2y = 2(y + 4) Reorder the terms: -12 + -2y = 2(4 + y) -12 + -2y = (4 * 2 + y * 2) -12 + -2y = (8 + 2y) Solving -12 + -2y = 8 + 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 = 8 + 2y + -2y Combine like terms: -2y + -2y = -4y -12 + -4y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + -4y = 8 + 0 -12 + -4y = 8 Add '12' to each side of the equation. -12 + 12 + -4y = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -4y = 8 + 12 -4y = 8 + 12 Combine like terms: 8 + 12 = 20 -4y = 20 Divide each side by '-4'. y = -5 Simplifying y = -5
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