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Simplifying 4y + -6(y + 8) = 8y + 12 Reorder the terms: 4y + -6(8 + y) = 8y + 12 4y + (8 * -6 + y * -6) = 8y + 12 4y + (-48 + -6y) = 8y + 12 Reorder the terms: -48 + 4y + -6y = 8y + 12 Combine like terms: 4y + -6y = -2y -48 + -2y = 8y + 12 Reorder the terms: -48 + -2y = 12 + 8y Solving -48 + -2y = 12 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -48 + -2y + -8y = 12 + 8y + -8y Combine like terms: -2y + -8y = -10y -48 + -10y = 12 + 8y + -8y Combine like terms: 8y + -8y = 0 -48 + -10y = 12 + 0 -48 + -10y = 12 Add '48' to each side of the equation. -48 + 48 + -10y = 12 + 48 Combine like terms: -48 + 48 = 0 0 + -10y = 12 + 48 -10y = 12 + 48 Combine like terms: 12 + 48 = 60 -10y = 60 Divide each side by '-10'. y = -6 Simplifying y = -6
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