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Simplifying 5y + -2(y + 4) = y + 4(y + 6) Reorder the terms: 5y + -2(4 + y) = y + 4(y + 6) 5y + (4 * -2 + y * -2) = y + 4(y + 6) 5y + (-8 + -2y) = y + 4(y + 6) Reorder the terms: -8 + 5y + -2y = y + 4(y + 6) Combine like terms: 5y + -2y = 3y -8 + 3y = y + 4(y + 6) Reorder the terms: -8 + 3y = y + 4(6 + y) -8 + 3y = y + (6 * 4 + y * 4) -8 + 3y = y + (24 + 4y) Reorder the terms: -8 + 3y = 24 + y + 4y Combine like terms: y + 4y = 5y -8 + 3y = 24 + 5y Solving -8 + 3y = 24 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -8 + 3y + -5y = 24 + 5y + -5y Combine like terms: 3y + -5y = -2y -8 + -2y = 24 + 5y + -5y Combine like terms: 5y + -5y = 0 -8 + -2y = 24 + 0 -8 + -2y = 24 Add '8' to each side of the equation. -8 + 8 + -2y = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -2y = 24 + 8 -2y = 24 + 8 Combine like terms: 24 + 8 = 32 -2y = 32 Divide each side by '-2'. y = -16 Simplifying y = -16
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