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Simplifying 4(y + 3) + -2y = 5(3y + 1) Reorder the terms: 4(3 + y) + -2y = 5(3y + 1) (3 * 4 + y * 4) + -2y = 5(3y + 1) (12 + 4y) + -2y = 5(3y + 1) Combine like terms: 4y + -2y = 2y 12 + 2y = 5(3y + 1) Reorder the terms: 12 + 2y = 5(1 + 3y) 12 + 2y = (1 * 5 + 3y * 5) 12 + 2y = (5 + 15y) Solving 12 + 2y = 5 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 12 + 2y + -15y = 5 + 15y + -15y Combine like terms: 2y + -15y = -13y 12 + -13y = 5 + 15y + -15y Combine like terms: 15y + -15y = 0 12 + -13y = 5 + 0 12 + -13y = 5 Add '-12' to each side of the equation. 12 + -12 + -13y = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -13y = 5 + -12 -13y = 5 + -12 Combine like terms: 5 + -12 = -7 -13y = -7 Divide each side by '-13'. y = 0.5384615385 Simplifying y = 0.5384615385
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