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Simplifying (2y + 4) + (y + 12) = 5(x + -12) Reorder the terms: (4 + 2y) + (y + 12) = 5(x + -12) Remove parenthesis around (4 + 2y) 4 + 2y + (y + 12) = 5(x + -12) Reorder the terms: 4 + 2y + (12 + y) = 5(x + -12) Remove parenthesis around (12 + y) 4 + 2y + 12 + y = 5(x + -12) Reorder the terms: 4 + 12 + 2y + y = 5(x + -12) Combine like terms: 4 + 12 = 16 16 + 2y + y = 5(x + -12) Combine like terms: 2y + y = 3y 16 + 3y = 5(x + -12) Reorder the terms: 16 + 3y = 5(-12 + x) 16 + 3y = (-12 * 5 + x * 5) 16 + 3y = (-60 + 5x) Solving 16 + 3y = -60 + 5x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3y = -60 + -16 + 5x Combine like terms: 16 + -16 = 0 0 + 3y = -60 + -16 + 5x 3y = -60 + -16 + 5x Combine like terms: -60 + -16 = -76 3y = -76 + 5x Divide each side by '3'. y = -25.33333333 + 1.666666667x Simplifying y = -25.33333333 + 1.666666667x
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