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Simplifying 2(y + -8) + -3 = -7(-2y + 4) + -6y Reorder the terms: 2(-8 + y) + -3 = -7(-2y + 4) + -6y (-8 * 2 + y * 2) + -3 = -7(-2y + 4) + -6y (-16 + 2y) + -3 = -7(-2y + 4) + -6y Reorder the terms: -16 + -3 + 2y = -7(-2y + 4) + -6y Combine like terms: -16 + -3 = -19 -19 + 2y = -7(-2y + 4) + -6y Reorder the terms: -19 + 2y = -7(4 + -2y) + -6y -19 + 2y = (4 * -7 + -2y * -7) + -6y -19 + 2y = (-28 + 14y) + -6y Combine like terms: 14y + -6y = 8y -19 + 2y = -28 + 8y Solving -19 + 2y = -28 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -19 + 2y + -8y = -28 + 8y + -8y Combine like terms: 2y + -8y = -6y -19 + -6y = -28 + 8y + -8y Combine like terms: 8y + -8y = 0 -19 + -6y = -28 + 0 -19 + -6y = -28 Add '19' to each side of the equation. -19 + 19 + -6y = -28 + 19 Combine like terms: -19 + 19 = 0 0 + -6y = -28 + 19 -6y = -28 + 19 Combine like terms: -28 + 19 = -9 -6y = -9 Divide each side by '-6'. y = 1.5 Simplifying y = 1.5
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