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Simplifying 4y + -6 = 2(6y + -15) Reorder the terms: -6 + 4y = 2(6y + -15) Reorder the terms: -6 + 4y = 2(-15 + 6y) -6 + 4y = (-15 * 2 + 6y * 2) -6 + 4y = (-30 + 12y) Solving -6 + 4y = -30 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -6 + 4y + -12y = -30 + 12y + -12y Combine like terms: 4y + -12y = -8y -6 + -8y = -30 + 12y + -12y Combine like terms: 12y + -12y = 0 -6 + -8y = -30 + 0 -6 + -8y = -30 Add '6' to each side of the equation. -6 + 6 + -8y = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -8y = -30 + 6 -8y = -30 + 6 Combine like terms: -30 + 6 = -24 -8y = -24 Divide each side by '-8'. y = 3 Simplifying y = 3
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