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Simplifying -2(8y + -6) + 4y = -2(y + 1) Reorder the terms: -2(-6 + 8y) + 4y = -2(y + 1) (-6 * -2 + 8y * -2) + 4y = -2(y + 1) (12 + -16y) + 4y = -2(y + 1) Combine like terms: -16y + 4y = -12y 12 + -12y = -2(y + 1) Reorder the terms: 12 + -12y = -2(1 + y) 12 + -12y = (1 * -2 + y * -2) 12 + -12y = (-2 + -2y) Solving 12 + -12y = -2 + -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. 12 + -12y + 2y = -2 + -2y + 2y Combine like terms: -12y + 2y = -10y 12 + -10y = -2 + -2y + 2y Combine like terms: -2y + 2y = 0 12 + -10y = -2 + 0 12 + -10y = -2 Add '-12' to each side of the equation. 12 + -12 + -10y = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -10y = -2 + -12 -10y = -2 + -12 Combine like terms: -2 + -12 = -14 -10y = -14 Divide each side by '-10'. y = 1.4 Simplifying y = 1.4
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