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Simplifying 3y + 3(y + -2) = 10y + -2(y + -4) Reorder the terms: 3y + 3(-2 + y) = 10y + -2(y + -4) 3y + (-2 * 3 + y * 3) = 10y + -2(y + -4) 3y + (-6 + 3y) = 10y + -2(y + -4) Reorder the terms: -6 + 3y + 3y = 10y + -2(y + -4) Combine like terms: 3y + 3y = 6y -6 + 6y = 10y + -2(y + -4) Reorder the terms: -6 + 6y = 10y + -2(-4 + y) -6 + 6y = 10y + (-4 * -2 + y * -2) -6 + 6y = 10y + (8 + -2y) Reorder the terms: -6 + 6y = 8 + 10y + -2y Combine like terms: 10y + -2y = 8y -6 + 6y = 8 + 8y Solving -6 + 6y = 8 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -6 + 6y + -8y = 8 + 8y + -8y Combine like terms: 6y + -8y = -2y -6 + -2y = 8 + 8y + -8y Combine like terms: 8y + -8y = 0 -6 + -2y = 8 + 0 -6 + -2y = 8 Add '6' to each side of the equation. -6 + 6 + -2y = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -2y = 8 + 6 -2y = 8 + 6 Combine like terms: 8 + 6 = 14 -2y = 14 Divide each side by '-2'. y = -7 Simplifying y = -7
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