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Simplifying 2(y + -4) + -5 = -2(-8y + 9) + -4y Reorder the terms: 2(-4 + y) + -5 = -2(-8y + 9) + -4y (-4 * 2 + y * 2) + -5 = -2(-8y + 9) + -4y (-8 + 2y) + -5 = -2(-8y + 9) + -4y Reorder the terms: -8 + -5 + 2y = -2(-8y + 9) + -4y Combine like terms: -8 + -5 = -13 -13 + 2y = -2(-8y + 9) + -4y Reorder the terms: -13 + 2y = -2(9 + -8y) + -4y -13 + 2y = (9 * -2 + -8y * -2) + -4y -13 + 2y = (-18 + 16y) + -4y Combine like terms: 16y + -4y = 12y -13 + 2y = -18 + 12y Solving -13 + 2y = -18 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -13 + 2y + -12y = -18 + 12y + -12y Combine like terms: 2y + -12y = -10y -13 + -10y = -18 + 12y + -12y Combine like terms: 12y + -12y = 0 -13 + -10y = -18 + 0 -13 + -10y = -18 Add '13' to each side of the equation. -13 + 13 + -10y = -18 + 13 Combine like terms: -13 + 13 = 0 0 + -10y = -18 + 13 -10y = -18 + 13 Combine like terms: -18 + 13 = -5 -10y = -5 Divide each side by '-10'. y = 0.5 Simplifying y = 0.5
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