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Simplifying 2(y + -8) + 3 = 2y + 2(y + -3) Reorder the terms: 2(-8 + y) + 3 = 2y + 2(y + -3) (-8 * 2 + y * 2) + 3 = 2y + 2(y + -3) (-16 + 2y) + 3 = 2y + 2(y + -3) Reorder the terms: -16 + 3 + 2y = 2y + 2(y + -3) Combine like terms: -16 + 3 = -13 -13 + 2y = 2y + 2(y + -3) Reorder the terms: -13 + 2y = 2y + 2(-3 + y) -13 + 2y = 2y + (-3 * 2 + y * 2) -13 + 2y = 2y + (-6 + 2y) Reorder the terms: -13 + 2y = -6 + 2y + 2y Combine like terms: 2y + 2y = 4y -13 + 2y = -6 + 4y Solving -13 + 2y = -6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -13 + 2y + -4y = -6 + 4y + -4y Combine like terms: 2y + -4y = -2y -13 + -2y = -6 + 4y + -4y Combine like terms: 4y + -4y = 0 -13 + -2y = -6 + 0 -13 + -2y = -6 Add '13' to each side of the equation. -13 + 13 + -2y = -6 + 13 Combine like terms: -13 + 13 = 0 0 + -2y = -6 + 13 -2y = -6 + 13 Combine like terms: -6 + 13 = 7 -2y = 7 Divide each side by '-2'. y = -3.5 Simplifying y = -3.5
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