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Simplifying 4(y + -3) = 2(3y + 10) Reorder the terms: 4(-3 + y) = 2(3y + 10) (-3 * 4 + y * 4) = 2(3y + 10) (-12 + 4y) = 2(3y + 10) Reorder the terms: -12 + 4y = 2(10 + 3y) -12 + 4y = (10 * 2 + 3y * 2) -12 + 4y = (20 + 6y) Solving -12 + 4y = 20 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -12 + 4y + -6y = 20 + 6y + -6y Combine like terms: 4y + -6y = -2y -12 + -2y = 20 + 6y + -6y Combine like terms: 6y + -6y = 0 -12 + -2y = 20 + 0 -12 + -2y = 20 Add '12' to each side of the equation. -12 + 12 + -2y = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -2y = 20 + 12 -2y = 20 + 12 Combine like terms: 20 + 12 = 32 -2y = 32 Divide each side by '-2'. y = -16 Simplifying y = -16
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