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Simplifying y + 3(y + -4) = 8y + -2(y + -2) Reorder the terms: y + 3(-4 + y) = 8y + -2(y + -2) y + (-4 * 3 + y * 3) = 8y + -2(y + -2) y + (-12 + 3y) = 8y + -2(y + -2) Reorder the terms: -12 + y + 3y = 8y + -2(y + -2) Combine like terms: y + 3y = 4y -12 + 4y = 8y + -2(y + -2) Reorder the terms: -12 + 4y = 8y + -2(-2 + y) -12 + 4y = 8y + (-2 * -2 + y * -2) -12 + 4y = 8y + (4 + -2y) Reorder the terms: -12 + 4y = 4 + 8y + -2y Combine like terms: 8y + -2y = 6y -12 + 4y = 4 + 6y Solving -12 + 4y = 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 + 4y + -6y = 4 + 6y + -6y Combine like terms: 4y + -6y = -2y -12 + -2y = 4 + 6y + -6y Combine like terms: 6y + -6y = 0 -12 + -2y = 4 + 0 -12 + -2y = 4 Add '12' to each side of the equation. -12 + 12 + -2y = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -2y = 4 + 12 -2y = 4 + 12 Combine like terms: 4 + 12 = 16 -2y = 16 Divide each side by '-2'. y = -8 Simplifying y = -8
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