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Simplifying 2(y + -2) + -8 = -3(-4y + 6) + -2y Reorder the terms: 2(-2 + y) + -8 = -3(-4y + 6) + -2y (-2 * 2 + y * 2) + -8 = -3(-4y + 6) + -2y (-4 + 2y) + -8 = -3(-4y + 6) + -2y Reorder the terms: -4 + -8 + 2y = -3(-4y + 6) + -2y Combine like terms: -4 + -8 = -12 -12 + 2y = -3(-4y + 6) + -2y Reorder the terms: -12 + 2y = -3(6 + -4y) + -2y -12 + 2y = (6 * -3 + -4y * -3) + -2y -12 + 2y = (-18 + 12y) + -2y Combine like terms: 12y + -2y = 10y -12 + 2y = -18 + 10y Solving -12 + 2y = -18 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -12 + 2y + -10y = -18 + 10y + -10y Combine like terms: 2y + -10y = -8y -12 + -8y = -18 + 10y + -10y Combine like terms: 10y + -10y = 0 -12 + -8y = -18 + 0 -12 + -8y = -18 Add '12' to each side of the equation. -12 + 12 + -8y = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -8y = -18 + 12 -8y = -18 + 12 Combine like terms: -18 + 12 = -6 -8y = -6 Divide each side by '-8'. y = 0.75 Simplifying y = 0.75
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