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Simplifying 16(y + -8) + 6y = 2y + -9(30) Reorder the terms: 16(-8 + y) + 6y = 2y + -9(30) (-8 * 16 + y * 16) + 6y = 2y + -9(30) (-128 + 16y) + 6y = 2y + -9(30) Combine like terms: 16y + 6y = 22y -128 + 22y = 2y + -9(30) Multiply -9 * 30 -128 + 22y = 2y + -270 Reorder the terms: -128 + 22y = -270 + 2y Solving -128 + 22y = -270 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -128 + 22y + -2y = -270 + 2y + -2y Combine like terms: 22y + -2y = 20y -128 + 20y = -270 + 2y + -2y Combine like terms: 2y + -2y = 0 -128 + 20y = -270 + 0 -128 + 20y = -270 Add '128' to each side of the equation. -128 + 128 + 20y = -270 + 128 Combine like terms: -128 + 128 = 0 0 + 20y = -270 + 128 20y = -270 + 128 Combine like terms: -270 + 128 = -142 20y = -142 Divide each side by '20'. y = -7.1 Simplifying y = -7.1
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