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Simplifying 4(y + -3) = 16 + -5(y + 6) Reorder the terms: 4(-3 + y) = 16 + -5(y + 6) (-3 * 4 + y * 4) = 16 + -5(y + 6) (-12 + 4y) = 16 + -5(y + 6) Reorder the terms: -12 + 4y = 16 + -5(6 + y) -12 + 4y = 16 + (6 * -5 + y * -5) -12 + 4y = 16 + (-30 + -5y) Combine like terms: 16 + -30 = -14 -12 + 4y = -14 + -5y Solving -12 + 4y = -14 + -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. -12 + 4y + 5y = -14 + -5y + 5y Combine like terms: 4y + 5y = 9y -12 + 9y = -14 + -5y + 5y Combine like terms: -5y + 5y = 0 -12 + 9y = -14 + 0 -12 + 9y = -14 Add '12' to each side of the equation. -12 + 12 + 9y = -14 + 12 Combine like terms: -12 + 12 = 0 0 + 9y = -14 + 12 9y = -14 + 12 Combine like terms: -14 + 12 = -2 9y = -2 Divide each side by '9'. y = -0.2222222222 Simplifying y = -0.2222222222
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