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Simplifying 3(2y + -14) + y = 15 + -1(-9y + -5) Reorder the terms: 3(-14 + 2y) + y = 15 + -1(-9y + -5) (-14 * 3 + 2y * 3) + y = 15 + -1(-9y + -5) (-42 + 6y) + y = 15 + -1(-9y + -5) Combine like terms: 6y + y = 7y -42 + 7y = 15 + -1(-9y + -5) Reorder the terms: -42 + 7y = 15 + -1(-5 + -9y) -42 + 7y = 15 + (-5 * -1 + -9y * -1) -42 + 7y = 15 + (5 + 9y) Combine like terms: 15 + 5 = 20 -42 + 7y = 20 + 9y Solving -42 + 7y = 20 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -42 + 7y + -9y = 20 + 9y + -9y Combine like terms: 7y + -9y = -2y -42 + -2y = 20 + 9y + -9y Combine like terms: 9y + -9y = 0 -42 + -2y = 20 + 0 -42 + -2y = 20 Add '42' to each side of the equation. -42 + 42 + -2y = 20 + 42 Combine like terms: -42 + 42 = 0 0 + -2y = 20 + 42 -2y = 20 + 42 Combine like terms: 20 + 42 = 62 -2y = 62 Divide each side by '-2'. y = -31 Simplifying y = -31
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