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Simplifying 8y + -12 = 6 + 2(10y + -3) Reorder the terms: -12 + 8y = 6 + 2(10y + -3) Reorder the terms: -12 + 8y = 6 + 2(-3 + 10y) -12 + 8y = 6 + (-3 * 2 + 10y * 2) -12 + 8y = 6 + (-6 + 20y) Combine like terms: 6 + -6 = 0 -12 + 8y = 0 + 20y -12 + 8y = 20y Solving -12 + 8y = 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -12 + 8y + -20y = 20y + -20y Combine like terms: 8y + -20y = -12y -12 + -12y = 20y + -20y Combine like terms: 20y + -20y = 0 -12 + -12y = 0 Add '12' to each side of the equation. -12 + 12 + -12y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -12y = 0 + 12 -12y = 0 + 12 Combine like terms: 0 + 12 = 12 -12y = 12 Divide each side by '-12'. y = -1 Simplifying y = -1
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